The new Henry break-action looks good in the pictures, and is reasonably priced. Among the initial cartridge offerings will be the good old .308, not too far from your .303.
I've flirted a bit with old-timers (.348 and .22 Hornet), but now I'm mainly about getting the rifle I want, and almost any cartridge will do, within reason. I've seen pretty much zero difference in performance on deer between the various rounds I've used, and the better availability of components and data for standard rounds is a bonus to me.
If you can't find a .303 No.1 at a bargain price, one of the 7.62x39s might be a candidate for re-chambering. They've been on sale here and there.
