As Art and wanker said...most ALL production rifles will stay inside of 2"@100y, many doing much, much better.
The question is, which brands and models are doing it at the time you intend to purchase, not all brand exhibit the same accuracy, with regards to production and quality control, year to year.
Truth be told, pretty much all the brands produced currently are shooting well, some manufacturers are producing models that have been 'consistent' as to accuracy like the Savage line as well as the Marlin X-series line of rifles.
Best bet is to fondle all the various models and see which one sparks your fancy.
As for the caliber, the 7mm Magnums will do all you ask of them, with your mentioned quarry in mind, but a less powerful cartridge like the 30-06, 280, 7mm-08, or 308 would do you well and offer less cost and recoil in addition.