For your MVS cab, I highly recommend:
Diggerman (puzzle)
Double Dragon (fighter)
Legend of Success Joe (boxing)
Master of Shougi (everybody loves chess!)
Ninja Combat (action)
Power Spikes II (volleyball)
Super Sidekicks (the first one)
The Super Spy (first-person action)
and Mahjong Kyoretsuden because it's just really unique, even if you can't read it.
I can't really choose a shooter, but if I had to choose one it would be Zed Blade or Alpha Mission II.
Honestly, from all the similar posts we've had on here over the years, I've never seen anyone recommend these games, so I figured you deserve to know the truth!
Sincerely,
Mikhail