some of the "must-have" rimfires for me...

assorted Kimber 82's
Various Anschutz sporters , both 54's & 64's...
Ruger 77/22's
Rem 541's
various CZ452's
and, i like the older 500-series Remington bolt guns, in both single shot & repeater variations.

as auto-loaders go:
Remington Speedmaster
Ruger 10/22's
Nylon 66

Guess in handguns, my must-have .22 list would include
Assorted S&W K22's
and, a S&W j-frame or 2
Ruger Mark II

============================================================