No, they don't make 99's any more. But they made them for 100 years. The .308 was a late comer in the 99 and required some design changes to accommodate the cartridge. .270 and .30-06 are too long for the action.
You can find one in .308, if you want one.
Aside from that, the browning is the only modern option I know of in the calibers you prefer. Those cartridges were designed for bolt actions in mind. The pointed bullet style is not compatible with the more common lever action designs. Browning and Savage stack the cartridges like many bolt actions.
The Winchester 1895 also came in .30-06, but I think that would be a hard to find rifle.
I suppose someone might be making a reproduction of that rifle?
Perhaps someone else will chime in with other less known options.
