I cannot come up with "one firearm does all" to provide an answer to your query. At clubs I've belonged to, fellows will buy a .44 Rem Mag, and load it with .38 S&W Special mid-range comparable loads. "Huh? Why not just buy a .38?", generally comes to my mind. Lever actions are great actions -- a have a few of these, in several calibers. For plinking, there are many .22 levers -- in quite a range of prices, too. For game -- e.g., hogs, deer, and similar -- my classic "two" would be a choice of Winchester (94) or Marlin (336) -- model numbers in parentheses as suggestions. Whether .30 WCF, .32 Special, .375 Win, .38-40, .38-55, .44-40, .444... well, there are lots of choices, any and all should fair well for you. My simple way of looking at brands puts the Marlin with an edge over most other lever actions, as its lever is most easily removed for from-breech barrel cleaning, PLUS, ejection permits a scope mount directly above barrel, if you choose. I stumbled across an old, beaten Marlin 336 (in .30WCF) complete with an old Tasco (made in Japan) scope atop it just for hunting on days with such bad (snow/sleet/rain) conditions I didn't wish to take out a "good" rifle -- and, guess what? In past several years, it's been my #1 choice.
Good luck... no disrespect, but hey -- give a .22 AND a central-fire thought to complement each other
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geo