On the European side of things there's any number of rifles based on Mauser 98s, both military and non-military actions. However there's a number of other interesting and effective options. For a small-game rifle, for example, I'm a fan of the Brno ZKW465 .22 Hornet. There's also the Sako L46, which is another really nice little rifle.
For medium and larger game there are also Brnos like the ZG47 and ZKK 600 series, as well as Sako L57/579 and L61. I also like BSA's Royal and Majestic, and the Husqvarna 1900 (which was also made under a couple of other names). Tikka LSA55s are another good one.
Of course, classic European hunting rifles need not be bolt-actions either. There are any number of single-shots, combinations, doubles and drillings to consider - I've enjoyed hunting with examples of each of these too.
