LemonAmiga says... Hoi?

In that case, it's either not on LemonAmiga, or it's categorized wrongly. It certainly looks like either a scrolling or a multiscreen platformer, but it's not in any of those categories.
[EDIT] Fine, it's called HOI, okay? ;-p
Here's another Amiga game. Also an excellent platformer.
[EDIT2] Argh! I could have sworn your post was not there before I edited mine, Aleksev :-/
Also, you're right, it IS on LemonAmiga, and it IS categorized correctly. How I missed it is beyond me. I withdraw my challenge for now. Your turn.

You're both correct. :-)
For the record, it's Hoi AGA Remix. The AGA Remix is the free and improved version. It also allows you to play the levels in any order, and even select unlimited lives. Hoi AGA Remix is one of those games that I used to finish over and over again, with unlimited lives. Mostly together with friends - in a sort of hotseat mode. It was very enjoyable.
I believe Hoi AGA Remix can be found on the Aminet. It's available other places too.

Ok then...

Theme Hospital.

Yay, Easy :P
Your Turn

Very fun old game.
sorry about the pictures best I could find.

Warhammer: Dark Omen? If its not that then maybe Warhammer: Shadow of the Horned Rat?

Yea its Dark Omen, Shadow of the Horned Rat has a much larger user interface you bascially only play in about half the screen.

Since you said definitely, I reckon its your go

okay, another easy challenge to kickstart the game again

Sorry for dropping the ball guys. I completely forgot about my guess.

Gunship! I had it on the Atari I think :).
Proof: http://www.mobygames.com/game/atari-st/gunship/screenshots
Next one!

blood money?

Certainly, it's Blood Money.
One thing I've always wondered about this game, is why they used the cover art from Larry Niven's novel "Protector".