Bad Romance, Paparazzi, and GUY are great videos that manage to effectively tell a story.
Marry the Night...I think it is actually the best video from BTW era. I think it is underrated since the song flopped. The reason I don't put it in my top 3 is because it feels like it is missing something to take it higher. I'm going to add Born This Way here and say that it was missing something.
Just Dance, LoveGame, Eh Eh, and Beautiful Dirty Rich are cute. That worked back then but I am glad she's not doing these type of videos today, all of which I enjoy.
Poker Face and Judas are overrated but it's okay because they're good. I just don't think they're special.
The Edge of Glory, Alejandro, and You and I

She ruined three amazing songs and I should slap ha a bit because of it.
Telephone and Applause are great but not epic. The latter looks cheap but I live for the swan. Also was Satan in this video? I think I felt him staring back at me.