The VZ-24 and 98-22's are probably the best actions for what you want to do. There are also a lot of new M-48 actions on the market. As stated above, the M-48's are an intermediate action, but will handle anything based on the .308 or 8x57 case. They will also handle the .376 Styer, which I think you should include in your list.

Everyone should build one sporterized Mauser in their lifetime, however you will save youself time and money if you buy a new CZ550 in the caliber you want.

Of the cartridges you listed, the 9.3x57 is in a class of it's own. Loading data for it is low pressure for all the '94 actions built around it and it will NOT keep up with the others unless you hot-rod it. That doesn't mean it isn't a fine round, it's just a different animal than the others. Something to think about.

JPH45,

The 9,3 x 62 is by far the best choice as an all around caliber. Still I think that a fast handling Enfield carbine with a 15" barrel, capable to shoot an heavy bullet at about 2.000 fps, will be a very useful, fun to shoot and easy to carry bush gun. With the proper bullet placement it will take any animal on hearth.