Got a problem with 2 game names here.
Both are jet games, and the goal is just to defeat those feisty enemies.
So, the first game is said to be up to round 25, and the view sometimes changes each level, for example, at R1, you can see the back of the jet and the enemies are in front. Then on R2, you can see the top view, in which you are at the bottom, the enemies come from above the screen, and on R3, side view, you're at left, and enemies come from the right screen. There was some kind of red octopus boss in R5 if i'm not mistaken. And yeah, in some rounds, you need to enter a round hole in the beginning of the round, otherwise you'll only battle meteorites.
The Second one is side view, you're at left, enemies from right. The first boss is like a frog with many frog babies and the second i think is the Bubble monster, and before that, you'll battle many bubbles that multiply as you hit them.