Well I am from sweden, alas not a very experienced pilot so some/most forreigners have probably more flying time than me in sweden :-).
I can however give you links to the official aviation organisations in sweden, where you will find links to most flying clubs web sites.
Swedish aviation authorities, Luftfartsverket:
http://www.lfv.se
Click on the "C" crew sign to get to the useful parts. They have it inegnslish to.
KSAK, swedish royal aero klub, english section:
http://www.ksak.se/eng.html
Homepage of my local flying klub, located at Johannisberg Airport (ESSX) in Västerås, sorry, not in english:
http://www.ksak.se/klubbar/VasterasFK/
You are welcome to visit ESSX, which is a pretty busy club airport, by swedish standards at least ;-). It is located about 55nm W of Stockolm by the sea of Mälaren.
/tomas