Hello Knusel,
isn't most of what you seek covered in this website ? -
http://users.accesscomm.ca/magnusfamily/ww2.htmype of aircraft flown
Or check the names in the "Aces High" volumes, these list each claim and will in most if not all cases give squadron and type of aircraft flown, even serial number.
For the RAF Fighter Command there are the "RAF FIghter Command Victory Claims" three vols.
Alex