Take a look at the .260 Rem or 6.5x55 as alternatives. A bit more punch, same recoil and higher BC. Other than varmints (which is the .25-06 isn't suited for either), it can be a good do-it-all middle caliber.
^ I will second that.
260Rem, 6.5x55SE, 6.5 Creedmore, and 6.5x47 Lapua are vastly more versitle then any .257 cal. Here is what I mean.
For varmint class game, the 25-06 has a slight edge over the 6.5 ballistic quadruplets, if sheer speed is your game an 85gr BT at 3,600fps is sure to make a mess of anything small and furry. The 6.5s are no slouch either, they can push speeds up to 3,500fps with the same bullet weights.
CXP2 (aka deer/pronghorn) class game, now we level the playing feild, while the 25-06 has some zippy 100s and solid performing 115gr bullets the 6.5s bring 120s and it's mainstay the 140gr bullets to the table. No .257 cal can come close to the ballistic performance of a high BC 140gr 6.5, even with it's higher intitial speed and energy the differnce at long range is astounding. Take a look at a max load comparison using the best BC bullets for each. Assume 10mph crosswind
25-06 115gr Berger VLD muzzle speed/energy 3,150fps/2,534ft lbs. 500yd speed/energy/drift 2164fps/1196ft/ft lbs/ 17.4"
6.5x55 140gr Berger VLD muzzle speed/energy 2,800fps/2,437ft lbs 500yd speed/energy/drift 2101 fps/1372 ft lbs/ 14.65"
Clear victory for the 6.5s
Other then their astounding external ballistics the 6.5s with 1:8 twists can also use ultra heavy for caliber 155-160gr bullets, these can penatrate as well as many of the much larger safari calibers and give the little sissy kickers disproportionate killing power on much larger game. They have been used for many years on game ranging from the largest of bear to elephant with great sucess.
Now all of that said no deer is likely to notice the difference between a good bullet from a 25-06 and a 6.5mm within normal hunting ranges, so if the 25-06 floats your boat by all means go with it.
BTW three of the 6.5 quadruplets are short action giving them a touch more utility if a handy rifle is in your criteria, and they all run about 8-10gr less powder then the 25-06 so they are a touch cheaper to reload and are a little easier on barrels.