DC Comics created their own WWII Super Soldier whose origin was designed after Cap's, being the only recipient of an experimental super-serum before the serum and it's creator were destroyed by an Axis spy. DC's US Army decided to use animal testing though, and so their WWII Super Soldier is Rex the Wonder Dog, who later became immortal after drinking from the fountain of youth.
The original Commander Steel from All-Star Squadron also takes a lot from the Captain, from setting to costume.
Wonder Woman (1942): When Glitch is captured and accused of being part of the Slave Revolt (which he was) he gives a rather b.s. reason for why he is innocent and completely unaware of the rebellion that he lampshades he got out of a comic book; when the ship crashed in the arctic Glitch ended up frozen in the ice for a couple of decades.
In Easy Rider, Billy refers to Wyatt as Captain America.
Free Guy: During the climax, Guy summons Captain America's shield to fight Dude, with the theme from The Avengers playing in the background. This is followed by a cameo from Chris Evans, who is watching the fight on his cellphone.
Jack from Navigating Early brings Captain America comic books with him to Boarding School. Also, Early's frog is named Bucky, after the Captain America character.
In "Homer the Whopper", Homer is cast as the title character in a movie titled Everyman, about a superhero who gains the powers of other superheroes by touching their comic books. One scene has a cop thanking Everyman for saving the day:
Homer [as Everyman]: Don't thank me! [holds up a Captain America comic] Thank Captain America, for giving me the patriotism to want to save the President's life, [holds up a Wonder Woman comic] and thank Wonder Woman, for giving me the boobs to distract the guards.