I have used a 270 for all the game you mentioned and while it worked, it was not ideal for the bigger critters (especially Elk). I would suggest a 3006 or add the 7 Rem Mag to the list, as mentioned it will do what the 06 will do just faster and flatter...carring a good punch to take small to big game. I use a 7 Rem mag now for my all arounder and couldn' t be more pleased with its performance. Recoil is stiffer than an 06 but for most easily tolerable (i have a bummed shoulder and it doesn' t bother me when i do a range session with even just a T shirt)