There are some good deals available on French rifles, and they are often in remarkable condition.
The Swiss rifles are really nice, and that keeps their price pretty high in the US (about twice the price in Switzerland)
Best feature of the Swiss rifles is that they only have the one ammo--and once you get a your formula for GP11 sorted, you can feed them all.
The Italian rifles are a mixed bag. Finding examples that are not abused is complicated. But, the ones that shoot do so remarkably well. 6.5carcano can be very pleasant to shoot. The 7.5 is not bad, either, if a tad stout in carbine-length rifles. If there's a 'sin' to assign to the Italian rifles, it's that there are so many variations, and it's easy to get caught up in trying to collect them all. You also do need to accept that the Italians went to a very simple, near soldier-proof, sight, which can feel crude and less accurate if you are not used to it. It's a 4-8 MOA sight for a 4-8 MOA rifle.
Japanese rifles can be a real hoot. The trick of that is often to look past a beat-up finish. Especially if collecting shooters versus collectables. 6.5japanse is a creampuff to shoot. The 7.7 not as much, but no worse than 30-06 (if illustrative of why using your MG ammo as a rifle ammo might not be super-smart).
There's a reputation the Italian and Japanese rifles have, of being "junk," that keeps the prices low. This can be turned to a person's advantage, with skill and a pot full of luck.
Now, Mauser rifles are a world of their own. The range of calibers, national markings, lengths, is flat-out staggering. That being said, the wehrbois have pretty much ruined the K98k market.
UK rifles are an option, but they have become pretty spendy in the collectibles side of things. The Mk VII ammo has been pretty much shot through. And, while it's not a complicated loading, finding the radiused rim cartridges (which don't rim-lock) has become spendy--directly due to the number of sport shooters wanting them for competition purposes world-wide.
Self-loading rifles are near a thing unto themselves. Not necessaily in a bad way. FAL, G3, AR-10, Galil, and their ilk can also be fun to have in a collection.