I'd say Cap, Tony, and Thor all have things that they share with Batman Superman, and even Wonder Woman. Cap is a (relative) bad ass normal like Batman wrapped in Superman's imagery and symbolism. Tony is more like what Bruce Wayne might be like without the Batman persona but still a super hero. And Thor has a similar role to Superman as the most bad ass flying brick champion archetype with a aesthetic and mind set more similar to Wonder Woman.
Both sets share a similar role in their respective universes, but I think when looking at all three Superman/Cap (Ego, Hero, Leader), Tony/Batman (Superego, Smart guy, bank) and Wonder Woman/Thor (id, big guy, Mystical warrior) works best.
DC goes like
Batman co-lancer/ Smart guy
Wonder Woman co-lancer/big guy
After that there's no one at DC that's on the same level as those three but i'd say Martian Manhunter is the Chick, and Green lantern and Aquaman are both sixth rangers.
Ironman co-lancer/smart guy
Thor co-lancer/big guy
Hulk big guy/smart guy (as Bruce Banner
Spider-Man Chick/Bumblebee if you want to put Janet or Storm or whoever here. I prefer Susan Storm as a team mom but there is nothing close to a consensus
Wolverine Sixth Ranger