When I was a kid, I used a 25-06 for everything but elk and moose. I used a 338WM for those.
With the many great bullets that we have today, I could be happy with a 270, 280 or 30-06. The bullets like Barnes TSX & TTSX, Nosler ETip, Hornady CX, Federal Terminal Ascent, Swift AFrame & Scirrocco...