Definitely avoid the remington 770, the combo budget gun they have out right now. Its shoots decently, but aside from being just plain ugly as hell, it is fairly flimsy. I bought one about a year and a half ago, right before deer season last year. It lasted me one season and it felt like it might last one more before it fell apart. I traded that quickly for a remington 700.
Anything in the 700 model line is a good place to start (I personally have my eye on the 700 mountain lss, but thats a whole other topic). The browning is also a good rifle, but if you can find a tikka for that price that is a steal. They usually run at least 650 to 700 round here. If your on a budget, dont rule out savage. They make some very nice rifles, even their budget rifle the stevens 200 is a solid gun.
Like another post already said though, beware getting a lightweight rifle in a hard hitting caliber. Some people can handle it, but most cant (even though not too many will admit that)