I like the .243 a lot. If you can find a Remington 798 in that caliber you should be set. These were basically new Mausers made by Zastava (located in what's now Serbia IIRC) but sold here in the US under the Remington brand for a few years. I have one, and as noted, like it a lot. Keep an eye peeled but don't wait around for one of these to fall in your lap. Any nice .243 that suits you will be fine. One thing - since you'll be hunting deer with it, be sure you buy some of the 'heavier' .243 ammo - they sell ammo with lead bullet portion that weighs 40 grains or 95 grains or more. I want the heavier stuff for deer sized critters.
If you run across any 6.5x55 'Swedish' rifles, they make excellent deer rifles too. Ammo is easy to find now, they sold thousands of these Swedes here in the US after the Swedish army retired them. You can buy new rifles in the caliber - I have a CZ as well as some of the surplus Swedish guns. Real nice to shoot, won't beat you up and have excellent 'punch' downrange. Put one on your wish list.
