I Mojo Jojo

Not a really thrashy Punk, definitely closer to Alt than to Skate punk.

I had it copied on a tape with no track listing

Female lead singer
Starts with a simple bass line.

This is what I remember from the lyrics:

"Living at home in a place where nothing changes
No one bothers to smile
On a beach with no swimming allowed
No sex, no drugs, no violent crowds.

Every place is the same, every place is the same
Every place is the same, there is no escape

And we dream to ourselves how its all gonna be
if we every get out and be on our own and just be left alone

Livin at home with repression and mind control with the thought police

Don't speak unless spoken to
go wash your face and clean your room"

Other tracks on the tape (I suppose to establish a time frame)

They might be giants - Ana Ng
Billy Bragg - Help save the youth of america
Pere Ubu - Non-alignment Pact
Sonic Youth - Teenage Riot

MojoJojo

Found it! This is Living At Home from The Obituaries. The version was looking for isn't the sample I found online. It appears the one I'm looking for is a live version. Anyway, persistence pays off. Now I just need to find the live version and also find that damn Godzilla cover.