My favorite rifle is my Taurus Model 62 pump with the short barrel. It's got a round barrel. The only things that detract from it's looks is the safety on top of the bolt and the hammer lock. Other than that it looks just like the old Browning pump rifles that the Henry replicates. I just found out it's been discontinued.
Depending upon how much you want to spend, you might try looking for a Winchester 1906. It's about as close to the Lightning as you'll get, with the small pump foregrip and hammer. Both of mine are very well used and even though one's got a pretty poor bore, they're very straight shooters.