As others have said, a bit more information would help the gang. Shooting paper and steel is a good start. Do you have a budget? Does it include the cost of optics, a rail and scope rings? What distance will you mostly be shooting at? Compete at all, or just a fun gun? Do you want it to be detachable magazine fed vs. fed from an internal magazine? Does barrel weight matter (shooting paper, I'd assume you'd be ok with a heavy barrel vs. a lightweight hunting barrel?). Do you reload? Etc.
A .223 bolt gun is a great rifle to have. Will make you a better shot with all larger calibers as there is almost no recoil to deal with, ammo is inexpensive and plentiful, wind does have an affect on a .223 bullet which will make you better at wind calls, etc.
As far as which rifle, you have a wealth of good choices, many of which have been mentioned already. As you're shooting paper and steel, I'll assume a heavy barrel .223 is in your future. Some options include:
Remington 700 - most popular bolt action rifle. Remington makes lots of models in .223 to choose from. The 700 has the most aftermarket parts of any rifle platform that allow you to make it your own. You could buy a SPS Tac model inexpensively and throw modifications at it as wants and money allows. I have one of these that I've put a Timney trigger on and mounted to a KRG Bravo chassis so I could have a detachable magazine and an adjustable comb. It has a 1:9 twist barrel, so you can't use much more than 75 gr. bullets. Usually, heavier bullets have higher ballistic coefficients. I reload 68 gr. and 75 gr. Hornady BTHP's and have gotten .25MOA groups out to 200 yds and 1/3 MOA groups at 300 yds.
Tikka T3x Varmint or CTR - very smooth actions and accurate barrels. 1:8 twist barrel will allow you to use heavier, longer bullets. Cost a bit more than Rem. 700's. Not as much aftermarket support, but enough.
Howa - Another great rifle for the dollar. A Rem 700 based platform.
Ruger Precision Rifle - a complete package. A precision rifle that comes from the factory with an adjustable stock, railed receiver and forend (no scope rail to buy), a heavy 1:7 twist barrel (can use the heaviest, highest BC bullets available) and muzzle brake and a good amt. of aftermarket support. Not shown on Rugers site anymore, but previously made one's are still available new.
Savages (lots of models to choose from) - typically good triggers (Savages Accutrigger) and accurate barrels, with good aftermarket support (again, that means stocks, triggers, rails, barrels, etc.).
CZ's
Mossberg
Kimber
Winchester
etc.
Not a dog in the bunch
If you're looking to spend more into the thousands of dollars, you have all sorts of choices around the $2K mark all the way up to a full custom (e.g. GA Precision) costing $3K+ dollars. You can then specify exactly what you want.