Seems you're getting suggestions for everyone's "favorites"- but I failed to see what type of shooting this is for?
After all, selecting the "right" chambering is a purpose-driven decision based on the specifics of the application.

I wouldn't want to use a .416 Rigby for target shooting, nor a 7-08 for elephant...

You didn't mention hunting, so I'm assuming this is target (?).... what range(s)?