A little information would be good to know. What do you consider fun.. or at least what do you envision yourself doing with this gun? And what kind of budget are you looking at?
You asked about a 700, and you aren't going to hunt. So, that leaves target practice. What range do you want to shoot? If only 100 or 200 yards, the 700 with a decent scope will be great. If you are thinking 600-800 yards, you will want a nice scope, and depending on your exact rifle, you might want a few updgrades to get the level of accuracy you want. There are a lot of good bolt guns. Savage and Howa are cheaper but known for being good. Browning, nicer Remingtons and others are also good but cost more. They will typically have better fit and finish.
If you see yourself going out and "blasting" (like my dad used to say), something in 7.63x39 would be a good choice. The round is strong eonugh to shoot through tv's, make watermelon chunks fly noteable distances, and give a loud noise when shooting metal targets. They aren't known for high levels of accuracy, but are typically useable. For this, look to an AK, SKS or Saiga. Prices anywhere from $250-400 or higher. Usually iron sights are used with these, but you can get optics.
Maybe Cowboy action shooting? Lever guns usually come in here. It looks like a good time running around fake buildings, shooting at targets all while dressed like a cowboy, but I've never done it. I knew a guy who did and he was ridiculously good at it. It definitely is a skill to acquire, not just people out having fun.
Learning to shoot on a .22lr is definitey a good idea, but just to play devil's advocate, I definitely got tired of them. I still shoot my Marlin 60 from time to time, but I'd rather go to the range, shoot 10 shots at long distances and go home. I can't afford to shoot the big guns all day, but plinking with a .22 just doesn't do it for me anymore.