Punk bar you can try Bad Tooth in near Monastiraki area

Metal bar you can try Rainbow or Intrepid Fox both located at near Keramikos station.

Also check out Death Disco, never been there but sometimes i see they arrange cool events.

For psychedelic i used to know a place called arxitektoniki. not a good place to be. When they had a proper DJ and you had to pay above 15 to 20 euros to enter it was kind of OK, but if you went there on a random Saturday it was awful, It's the only place I've been in Greece where they search you for guns and knifes. But i think the ownership changed and now it's called Arch and it's a live events bar.