I don't own a lever action rifle but I've always thought if I were to buy one, it would be in the Browning BLR. It's a strong action that is chambered in several magnum offerings and it can still be found chambered in the .270 Weatherby. It's chambered currently in the 7mm mag and several of the short action magnums of which I'm not a fan. It's a unique design and requires a certain taste to appreciate, but it's an undeniably strong action.

My personal "American .30-06" is a .300 Weatherby. It's the only caliber I own more than one of.