Only two rifles? Just like everyone else has said. For the occasional big bears, moose or elk you'd be hard pressed to beat a .338 WinMag or a 375 H&H or Ruger. Both have quite a bit more recoil than the 30-06 (which BTW will also kill these animals). For a lighter recoiling rifle for deer, antelope, black bear, etc there is a huge number of chamberings you can go with.
Anything from the .243 on up. My personal choice would be 7-08, 260 Rem, 6.5 Creedmore or .270 win.