Fury of the Furries? Can it be that even though I've only played a couple of levels from it, I can still recognize the level select screen at once?

It should be like that! This game just implant itself in your brain forever even if you just watch someone else playing it! Ok, I'm talking like a nerd now but I do love this game. I cannot even count how many times I beat it...

Anyway - your turn

A game from my (very early) childhood, we used to play it at a friend's house, I think we've managed to go up to 5th screen or so. All of us younger than 10, screen resolution/colors weren't helping, plus we had no idea of what a manual was.

I'm 100% sure it's one of the Last Ninja games, unfortunately I never got very far in any of them.
Perhaps Last Ninja 2?
Pretty sure it's not 1 and 3 probably looked a bit better.

Yeap, current screen is from the Amstrad CPC where I fist encountered it, though some of the other versions were more pleasantly looking. I may have to try and find it at some point, to see if it's a bit easier now that I'm older.

This one should be pretty easy.

Is it snatcher?

That is correct.

Here you go.

Looks like it is an AC-130 Gunship in action...
"Seal Team" (from 1993 by Electronic Arts http://www.mobygames.com/game/seal-team )?

It's an AC-130. Seal Team is incorrect. Same publisher, hit the market 1-2 years later.

Jane's Combat Simulations: Advanced Tactical Fighters?
http://stare.e-gry.net/galeria/jane-s-combat-simulations-advanced-tactical-f/16593
http://stare.e-gry.net/galeria/jane-s-combat-simulations-advanced-tactical-f/16592

Not entirely correct, but you're getting very close.