PCP,Springer or pumper.
Any air gun that shoots 700FPS or better will make it out to a hundred yards.
As for caliber pick your poison,of course lighter smaller dia. pellets will have more wind deflection.
On the other heaver larger pellets will have more trajectory problems.
I personally have found a .20 cal. shooting
H&N Field Target Trophy .20 Cal, 11.42 Grains or
Beeman Field Target Specials .20 Cal, 11.42 Grains shooting at or above 800FPS seem to work best for me at long ranges.
"Springers are neat,,One Shot One Bullseye"
BUT ONLY If you can master shooting one ! ! !