A typical game I've always missed on Amiga is Beamrider.
Off course there are vertical shooters but this doesn't really classify as a vertical shooter in my opinion.
The C= 64 version:
https://www.youtube.com/watch?v=vMc86qtKgp8 This game is graphically not very appealing but playability is just perfect!
If you manage to create the same amount of playability on Amiga with better graphics&snds it would be very addictive!
In addition: a simultaneous multiplayer would really make it perfect!