The New Avengers

Captain America (CWFF/75pts)
Ironman (M&MFCBD/100pts)
Wolverine (GSX/103pts)
Spider-Man (WOS/78pts)
Spider-Woman (CW/82pts)
Iron Fist (SI/70pts)
Luke Cage (AV/85pts)

The Super Friends

Superman (SMFF/150pts)
The Batman (DC10th/63pts)
Wonder Woman (DC10th/84pts)
Green Lantern (JL52/72pts)
The Flash (JL52/88pts)
Hawkman&The Atom (B&B/120pts)

The Avengers (After Hank Pym left)

Captain America (HoT/72pts)
Ironman (M&MFCBD/100pts)
Thor (CWFF/125pts)
Black Panther (AV/92pts)
Wasp (CW/77pts)
The Hulk (GG/124pts)

The Justice League

Superman (SMFF/150pts)
The Batman (DC10th/63pts)
Wonder Woman (DC10th/84pts)
Hawkgirl (BD/71pts)
Green Lantern (JL52/72pts)
Black Lightning (Batman/87)
Red Arrow (CR/73pts)

I would say the one with th emost rounded support powers, such as Tk, outwit, and perplex. Just scanning through the teams, I would go with one of the JL teams. I don't know their exact powers, but your avengers teams don't seem to have much synergy.