This is a Korean arcade game, that's actually a compilation of three games, two of which had been previously released seperately. Okay, then.
So, the first game is Cookie and Bibi. It's Puzzle Bobble. It has puzzle and versus modes like Puzzle Bobble, the same mechanics as Puzzle Bobble, it is Puzzle Bobble, but with different graphics. I guess the fact that it has different sport-related balls instead of different coloured bubbles is a nice touch, though? It's also a part of a series of three games, all of which appear to be Puzzle Bobble clones. I suspect it might be the second in the series, but I have no idea why.
The next game is Hyper Man, which was originally called Hyper Pac-Man. It's a Pac-Man ripoff, of course. A really good one, though! It seems like the makers wanted to rip off Pac-Man, but then they had a bunch of other ideas and stuck them all in, too. There's different kinds of enemies, boss fights, destructible walls and a bunch of power-ups including (but not limited to) jump shoes, speed-up shoes and a helmet that shoots lasers! Also, unlike the original Pac-Man, each stage has a different layout, and there's room in there for odd gimmicky stages, like a stage that is just dots and ghosts, with no walls. I seem to remember there being a homebrew amiga game, also called Hyper Pac-Man, that also featured the addition of a bunch of power ups and gimmicks. I doubt the two are related, though.
The final game, and the only one that is completely new for this compilation is New Hyper Man! It re-uses a lot of sprites from Hyper Man, but it isn't a Pac-Man clone, it's a single screen top down shooter! On each stage, kill all the blue enemies to go on to the next stage. Dead enemies constantly respawn after death as red enemies, though you only have to kill all the blue ones to advance. There are items strewn about the stages, too, including the points-giving food items from Hyper Man, as well some of the power ups from Hyper Man. Getting points is very important in this game, since your score also acts as an RPG-esque experience system, with your weapon becoming more powerful as your score increases. New Hyper Man is a really fun and fast game, and could really have been released on its own, especially since the other two, weaker games already had been. Maybe they though such a move would be too cheeky, considering all the re-used graphics in NHM? Never stopped bigger, more "legitimate" companies, though, did it?