Yes, they still exist! Only on shortwave in Europe and North America though, but also on the main broadcasting bands everywhere else...and some of them online, of course.
I didn't come across any of these I've listed when I was listening to shortwave radio back in the 1980s; but I would image there were far fewer stations and opportunities then; just a few hobbyists broadcasting for a few hours at the weekend.
These are my favourite station names that I found on a website - it makes you wonder about the programme content of some of them though.
Betty Boo Radio
Radio Free Euphoria
Grasscutter Radio
The New Dude
Big Thunder Radio
Captain Morgan
Ironman Radio
Voice Of The Pig's Ear
Old Turkey Radio
Shadow Radio
Yukon Jack
Weak Radio
James Bond Radio
Rodent Revolution
Voice Of The Pink Panther
Mystery Radio
The Crystal Ship
Dr. Who Of Hippie Radio
Crystal Radio
Psycho Radio
Yes, Shortwave pirate radio is still alive and kicking. Although you may not recognise some of the station names from the 80's, some of the stations you listed are probably operated by the same guys. If you are interested in shortwave pirate radio, check out the piratesweek podcast (shameless plug) If you enjoy the station names, some of their programming will seriously twist your mind.
Ragnar