I've always enjoyed pulp adventure, crime, and espionage sorts of things. In terms of mainstream favorites aside from Shang-Chi, I'd say Batman, the Rocketeer (R.I.P. Dave Stevens) and Daredevil are up there. I really liked Morrison's run on JLA, too, though.
Stuff you might like
Atomic Robo, Tom Strong, Athena Voltaire very pulpy
Gravel a British SAS combat magician
Queen & Country best espionage comic ever
Modesty Blaise & James Bond newspaper strips reprinted in tpb form.
Iron Fist - matt fractions run is fantastic and really reinvents the character and makes him cool as hell.
Agents of Atlas the first mini series from a few years ago has a nice pulp vibe
The Losers from vertigo the movie of the same name is based on these.
Y the Last Man
Cap America brubaker's run has been pretty solid.