Shot placement is the most crittical component, but as a rule of thumb(you can always get lucky) IMO.
under 100yrds-22mag 17hmr
under 150yrds- 22 Hornet, 218 Bee
under 200yrds- 221FB, 222 Rem
under 250-300yrds- 204 Ruger, 223, 222 Rem Mag
Over 300- 22-250, 243 and on up.
I've killed coyotes with all the above except the 17hmr, 221FB nd 204Ruger