I've always loved leverguns, not the least because I'm a southpaw and am thus averse to bolts actions (yeah, I know there are southpaw bolts...).
I grew up with, and took my first deer with, my father's Winchester 88 in .308 Win. Pre-'64, it had an older Leupold 3-9x40 scope on it. Very nice levergun package. I hunted with that rifle for a number of years. Over the years it earned the moniker "Meat Gun". Yeah, it earned it. Much meat found its way into the freezer by way of that rifle. Were it not for the "eh" trigger and the lack of parts (modern day), that rifle would be my ultimate hunting rifle. Not just my ultimate levergun -- my ultimate hunting/foraging rifle, period. Meat Gun.
Close second is the other levergun I grew up with, and that is more due to time in the field compounded with the somewhat less effective optics (they were, after all, old) than the rifle being inferior. And that was my grandfather's (scoped, 4x weaver) Savage 99 in .300 Savage. With brass shell counter. NICE. They just don't make them like that anymore.
Nowdays? Get a Marlin. I got a recent model Marlin 336A (like their current DLX, but with plain wood) in .30-30. It is a 200 yard rifle with irons and "conventional" ammo. But it has a Leupold 2-7x33 scope with repeatable quick release rings, combine that with the new Hornady FTX bullets and you've got a carbine length rifle that is hunt respectable out to 300 yards.
Which is all I really needed. 300 yards repeatable minute of deer's "boiler room". It'll get the job done, although it is on the shy side of it. It works, but it does so without a whole lot of slack, it is pushing it, you have to know your rifle.
It isn't the "ideal" rifle of yesteryear -- those used commonly available rounds as opposed to special "trick" loads. Instead of an existing, shorter range round. But ultimately it does fit the bill. Better if closer, but if 300 yards it is, then 300 yards it can do if the shooter (that's me) knows his stuff.