What do you want it for?
If you just wantt o gun down paper, pop bottles and small game/varmints, thent he .223 is great. If you want to hunt big game, it's hard to do better than an '06.
Does that $1000 include or not include the price of a scope?
Probably best bang for buck, and best accuracy for buck, would be to get a Savage rifle and spend the bigger bucks on a good scope, like a Leupold. That won't get you bragging rights at deer camp, but it will more than do the job.
Another slightly higher priced option, would be a Weatherby Vanguard with a good scope. You should still squeak in under a grand with that.
Most other options will put you over your price point if you want something other than a bargain scope on it.
IMO a lower-end rifle with a good scope is better than a very good rifle with a cheap scope.