How much are you looking to spend on the rifle.
The savages shoot well. I don't see them in the olympics taking gold... I do see anschutz there. The annie will cost 4-5x the cost of the cost of the savage. How accurate do you want to get?
The win52D is a very good rifle. My grandfather had one with a 2 oz trigger that was fun to shoot. I will never be good enough to see how accurate I could get with it. He bought an anschutz and shot with that exclusively instead of the winchester 52D, so that should give you a hint about those rifles. The winchesters are running 1k+, the annies can be had for 900+.
Used guns are a very good way to get a good working and shooting rifle. If you are looking for tack driving (and I mean actually hitting the head of a thumbtack at 60y) then you are probably going to spend some real money on it. If you can find a mossberg 44 under 300 now a days, they are a good start. The mossy 144lsb is a better gun and will be slightly more expensive. A kimber 82 can be had from the CMP for about 450 if I remember right for a "rusty" gun. Never seen one that was bad, just a little surface rust.
Do you want optics or iron sights? A good set will run you about the same. I am preferential to redfield olympic or palma sights. For a target .22lr, you are going to spend 300+ for peep sights. You can get a perfectly adequate scope for that.
If you aren't looking to spend that much, the savage is a good place to start. Another is the CZ 452(I think). Old marlins have a lot of potential and so do the old glenfields. Yes, you can get a 10/22 as accurate or close to as accurate as an anschutz... but your going to spend just as much (new trigger, barrel, stock, sight, etc.).
BrocLuno - accuracy isn't that big of an issue at 100y. If you are having issues with the shift from supersonic to subsonic at 100y, start with a subsonic ammo. I have seen some awesome groups (1 - 1.5 inch 10 shot groups) using subsonic ammo at 100y. They still pack plenty to handle anything smaller than a racoon. I don't like the .22lr for coons anyways. I prefer the mag for those guys... their tough.