In this guide i will list all the capacitors that need replaced in your Sega Game Gear. Also I will highlight in red the capasitors that don't need replaced if you are replacing the screen with a new screen as they won't be used anymore.
Note the 3 main versions of game gear in the photo below
VA 1 = revisions 837-9130 / 837-9024 / 837- 8560
VA0 = revisions 837-7996 / 837-7719-01
VA4 and 5 are not compatible with new LCDs

Main PCB capacitors
VA0
C1 33uF 6.3V C3 10uF 6.3V C6 10uF 6.3V C31 100uF 6.3V C35 4.7uF 35V C37 68uF 6.3V C39 100uF 4V C44 0.47uF 50V C45 0.47uF 50V C48 10uF 6.3V C49 22uF 6.3V
VA1
C1 33uF 6.3V C4 10uF 16V (or 6v) C11 10uF 16V (or 6v) C14 10uF 16V (or 6v) C42 10uF 16V (or 6v) C43 22uF 6.3V C45 4.7uF 35V C47 68uF 6.3V C49 100uF 4V C54 0.47uF 50V C55 0.47uF 50V C68 100uF 6.3V
VA4
C1 33uF 6.3V C31 100uF 6.3V C33 22uF 6.3V C36 22uF 6.3V C37 10uF 16V C38 22uF 35V C39 10uF 50V C40 47uF 6.3V C41 47uF 6.3V C42 10uF 50V C43 1uF 50V C44 22uF 6.3V C46 22uF 50V C47 10uF 50V C55 100uF 6.3V C75 100uF 6.3V (only found on 837-9537-01 version)
Audio PCB capacitors
All boards
C1 100uF 6.3V C2 100uF 6.3V C3 100uF 6.3V C5 47uF 4V C7 47uF 4V
Power Supply PCB
All boards
C5 22uF 35v C9 (only on VA4 PCBs) 10uF 16v C11 100uF 25v C13 820uF 6.3v