RE: 30-06 for brown bear
In my opinion there' s better guns for brown bears.......but the old ' 06 is up to the task, I have immense respect for that old cartridge.
Look for ammo from a company (Remington or Federal or Hornady) that uses either 180 grain or larger Swift A-Frame, Trophy bonded, Bitterroot, or (yes believe it or not) Hornady round nose bullets.
Possibly other fine bullets will be as good such as the Grand Slam, Fail Safe or Barnes bullets.....but I' ve had little experience with them. I wouldn' t recommend a bullet that isn' t bonded such as Nosler' s partition or Ballistic tip.