Browing makes a fine lever action (the BLR) in many calibers, that has a detachable box magazine. Also, the old (1960-1970s) Winchester Model 88 is a great lever gun, with a box magazine.
You have lots of choices like these. Just sit down with a copy of the Shooters Bible and take a look.
Personally, I hate the tube fed levers with the loading port at the front of the tube, like the Henry. I also hate the loading gates, because it is like letting a hamster bite the end of your thumb every time you have to load the rifle. They are beautiful to look at and hold though.
Best Regards,
Big Paulie