Any punk fans care to give some band suggestions?

Here are some good ones

Bad Brains
Birthday Party
The Fall
Sonic Youth

Roscoiii has some great suggestions! I'll add a few....

The Minutemen - start with double nickels and keep going
Husker Du- start with zen arcade
Black Flag - start with first 4 years (pre Rollins and arguably better)
Fugazi x3
The Embarrassment
Mission of Burma x3 start with the classics and then Obliterati.
The Replacements - sorry ma and stink
Talking Heads
Wire - pink flag
Gang of Four - Entertainment
Nomeansno - wrong is the wright place to start (spelling intended)
Hot Snakes - all
The Wipers - start with over the edge and is this real
Drive like Jehu - start with S/T
Tanner
X
The Stooges
Velvet Underground
Dead Boys - young, load and snotty
The Damned
Fear
The Police - first couple of records
Eater - the album
Television - marquee
Patti Smith
Richard Hell - blank gen
MC5

And many more I'm forgetting right now, enjoy the journey!

Try youtube to give yourself a taste of this:

Blood circus

Tad

Scratch acid

DRI,GBH, Angry Samoans, Sex Pistols, Clash, Circle Jerks, Dead Kennedys,Minor Threat, Disorder, Iggy and the Stooges, Agnostic Front, MDC, Meatmen, Husker Du, Suicidal Tendencies, Bad Brains,The Dicks, Redd Kross, The Urinals, FEAR, Black Flag. Just to name a few.

Yeah, good suggestions. The Dead Kennedys are my favorites.
Try Butthole surfers and Pixies too (they are not punk I know, but great bands).
Amebix are good too.... MDC, Raw power, Discharge, The Stupids, SNFU...