3D Superball, theoretically there is a cap.. but there is pretty much no chance anyone will reach it. So the high score can always be beaten.
Alien Attack, they keep coming.
Alien Commander, they keep coming.
Alien Invasion, they keep coming.
Anime Blackjack, can gamble for as long as you want.
AppleHunt, score's bugged but i presume the levels are on a loop.
Apples, has a fixed scorecap.. should be deleted.
Arkanoid, you can go for as long as you want.
Aski, go for as long as you want.
Asteroids, go for as long as you want.
Asteroids 2k, go for as long as you want.
Autobahn, go for as long as you want.
BalloonBomber, go for as long as you want (saw people with 2billion high score).
Barts Watersport adventure, no idea.
Bassteroids, presume the same as Asteroids.. go for as long as you want.
etc. So Zeyi, you sir.. are the idiot. The vast majority of games dont have a score cap, as then they'd be useless in a arcade.
but then again, i guess those are your types of games.. The ones with an easy score-cap to reach, where 'everyones a winner'.. So you can finally win at something