^edit: Figured it out, Chinese bootleg, Super Magican.
Thanks for the other info, FAST6191. The Genesis has a lot that went overlooked, I just checked a few out now.
The blue bird you might have seen in Sonic. This is just oldschool arcade gameplay. You take Flicky, grab hold of yellow birds, and try to get them to the exit, while avoiding tigers. The tigers can also be fought off if you grab hold of an object, of which throwing takes priority over flying. The more birds you get to the exit at once, the more points you get. It's a single screen platformer, but the screen scrolls into itself, which gives the illusion of depth, which is a pretty cool effect.
I saw it mentioned in the comments section of another Youtube video, so I thought I'd check it out. By Microprose of Europe(but still saw a U.S. release). This one's a platformer. A selects the angle of your projectile, B jumps, and C shoots the projectile. He has a battery count for life, which can be brought up to 5. The weapon also has a count that can go up to 5, I'm not sure how it affects anything, if it increases range, or attack power, or what. The battery thing is like Sonic with rings, in that as long as you have 1 power, you can take an extra hit, at full power 6 before you die, so he can get pretty durable. Passwords to resume your progress. The objective is to reach the portal at the end of the stage.
It's really hard to peg this. An action game anyway, I just need a better understanding of the objectives. It almost feels like a single player capture the flag. You start off with a mace, and as you collect shields and scrolls, which happens frequently, your attacks change. You get projectiles or spells. Enemies keep coming at you, and it seems like, if you find their flag, and take it back halfway toward where you started, you move on. There are also these weird shoot 'em up sections where you're a hand that can move along the edge of the screen, but I haven't beaten one. Doesn't seem to matter if you do or not, or it makes you retry the stage before until you do, either way it's not a game over. It's pretty fun from what I can get out of it, but it needs to be understood better.