I didn't see any guide on this forum and I don't like Youtube guide, it's hard to print them out. I did find a guide on the internet but it's not quite clear. So I posted one.
Tools required:
Phillips screwdriver #1 and #2
small flat screwdriver or guitar pick or something thin and strong.
I take no responsibility if you do this and something breaks. This is a guide to help people understand how to take Lynx II apart for cleaning, repairing, or to add mods.
First, remove power cable, audio cable, battery cover, batteries, and game card if it's still in the system. Flip the Lynx so the back is facing toward you.
On most Lynx II I took apart, they were held on by double sided tape, and they usually stay with the rubber grip. Peel off 2 rubber grip and set them somewhere safe, make sure the sticky side is protected. If by chance the tape did not come with the rubber grip but instead stayed on the plastic shell, you can leave it and poke hole for screws. Remove 4 screws marked by blue arrows using a #2 Phillips screwdriver. A #1 will work but it'd be loose fit and you risk damaging the head.
The back cover should come off easily. Using the screwdriver again, remove the screw holding the battery compartment down. You may need to drive the screwdriver at a slight angle. Life the board slightly, the compartment should come out easily. Watch the battery spring on the right side when removing the compartment.
Using your fingernail, guitar pick, or small flat screwdriver, pop the connector open. The connector should slide down once it's unfastened, allowing the ribbon cables to come out easily.
Raise the board some more, you can disconnect the speaker cable and back light cable.
The LCD itself. Using #1 screwdriver this time, remove 4 screws marked by blue arrows. The LCD module will come out easy. If you need to fix sticky or non working button(s), after removing the LCD using #2 screwdriver and remove 6 screws by green arrows. The directional pad and the A and B button pads are held on by thin plastic retaining clip, they can come off easy but take care not to use excessive force or you may break it and it would be a problem putting it back together. Use the opportunity to clean dust and gunk off the contact pad, and to check for worn contacts.
You could probably try to replace the LED but it's a very small one (not SMD) soldered directly to plastic membrane and it can be damaged if you're not careful. Suggest you leave the LED alone unless you're very experienced with soldering iron and know what to do. If I examined the membrane correctly, facing the front, anode of LED is on the right side (toward fire buttons) and cathode is on left side (toward control pad)
To reassemble, take care no dust is present on LCD screen or the back of Lynx screen before putting the module back in. Check the black foam-like seal around the LCD screen, ensure that it didn't slip out and block part of the viewing area before screwing them back together. Follow the rest of the steps in reverse.
You may run into difficulty in inserting the ribbon cable due to small space, first make sure the fastener is in the open position. Make sure the cable is straight and all the way in before snapping it into locked position. Then give it a gentle tug, if it comes out you need to re-unfasten the connector and insert the cable deeper. And most importantly, take your time putting them together, the ribbon cable could become damaged if you get too aggressive with reassembly.
Before screwing in the back cover, plug a game and power or battery in and test to make sure everything is working. It's no fun putting it all together only to find the LCD doesn't work, and you have to re-disassemble to fix improperly seated cable or left off backlight plug.
If the double sided tape goes bad for any reason, you can pick up a roll of double sided tape from hardware store. They often come in roll about 1.3" (around 3.5cm) wide, is usually used for carpet or linoleum floor, and only costs a few dollars. First, remove any old tape remains and clean the grooves where the grip goes in. Roll out the tape a few inches long, long enough to lay both rubber grips parallel. Then using xacto knife or other sharp knife, carefully cut along the edge of the rubber grip until you can remove it from the rest of the tape. Peel off the backing and install them in Lynx, they should stay in!
Tools required:
Phillips screwdriver #1 and #2
small flat screwdriver or guitar pick or something thin and strong.
I take no responsibility if you do this and something breaks. This is a guide to help people understand how to take Lynx II apart for cleaning, repairing, or to add mods.

First, remove power cable, audio cable, battery cover, batteries, and game card if it's still in the system. Flip the Lynx so the back is facing toward you.

On most Lynx II I took apart, they were held on by double sided tape, and they usually stay with the rubber grip. Peel off 2 rubber grip and set them somewhere safe, make sure the sticky side is protected. If by chance the tape did not come with the rubber grip but instead stayed on the plastic shell, you can leave it and poke hole for screws. Remove 4 screws marked by blue arrows using a #2 Phillips screwdriver. A #1 will work but it'd be loose fit and you risk damaging the head.

The back cover should come off easily. Using the screwdriver again, remove the screw holding the battery compartment down. You may need to drive the screwdriver at a slight angle. Life the board slightly, the compartment should come out easily. Watch the battery spring on the right side when removing the compartment.

Using your fingernail, guitar pick, or small flat screwdriver, pop the connector open. The connector should slide down once it's unfastened, allowing the ribbon cables to come out easily.

Raise the board some more, you can disconnect the speaker cable and back light cable.

The LCD itself. Using #1 screwdriver this time, remove 4 screws marked by blue arrows. The LCD module will come out easy. If you need to fix sticky or non working button(s), after removing the LCD using #2 screwdriver and remove 6 screws by green arrows. The directional pad and the A and B button pads are held on by thin plastic retaining clip, they can come off easy but take care not to use excessive force or you may break it and it would be a problem putting it back together. Use the opportunity to clean dust and gunk off the contact pad, and to check for worn contacts.
You could probably try to replace the LED but it's a very small one (not SMD) soldered directly to plastic membrane and it can be damaged if you're not careful. Suggest you leave the LED alone unless you're very experienced with soldering iron and know what to do. If I examined the membrane correctly, facing the front, anode of LED is on the right side (toward fire buttons) and cathode is on left side (toward control pad)
To reassemble, take care no dust is present on LCD screen or the back of Lynx screen before putting the module back in. Check the black foam-like seal around the LCD screen, ensure that it didn't slip out and block part of the viewing area before screwing them back together. Follow the rest of the steps in reverse.
You may run into difficulty in inserting the ribbon cable due to small space, first make sure the fastener is in the open position. Make sure the cable is straight and all the way in before snapping it into locked position. Then give it a gentle tug, if it comes out you need to re-unfasten the connector and insert the cable deeper. And most importantly, take your time putting them together, the ribbon cable could become damaged if you get too aggressive with reassembly.
Before screwing in the back cover, plug a game and power or battery in and test to make sure everything is working. It's no fun putting it all together only to find the LCD doesn't work, and you have to re-disassemble to fix improperly seated cable or left off backlight plug.
If the double sided tape goes bad for any reason, you can pick up a roll of double sided tape from hardware store. They often come in roll about 1.3" (around 3.5cm) wide, is usually used for carpet or linoleum floor, and only costs a few dollars. First, remove any old tape remains and clean the grooves where the grip goes in. Roll out the tape a few inches long, long enough to lay both rubber grips parallel. Then using xacto knife or other sharp knife, carefully cut along the edge of the rubber grip until you can remove it from the rest of the tape. Peel off the backing and install them in Lynx, they should stay in!