That's odd, because I thought Supergirl would have the MOST interpersonal dumb conflicts. I tried to get into it in season 1 but, I just couldn't. Got up to... I think episode 5.
Only episodes I have watched since then were the crossover one with The Flash, then the first one of the 4-part crossover, which was pointless, cos they only 'crossover' part was the 30 seconds at the end, which they showed in The Flash, anyway!
I thought for sure the anti-alien gas they had in that Supergirl episode was gonna be a part of the crossover, bah.
I personally love Legends Of Tomorrow, I thought the problem with season 1 was they tried to be a bit too serious, even in the face of the ridiculousness of it all, whereas this year they have just gone full camp and, I love seeing Ray Palmer geek out every week.
The CGI looks ropey and, the fight choreography is pretty dire at times but, I still enjoy the fuck out of it, probably enjoying it the most out of Flash/Arrow/LoT this season, honestly.