I can't figure out a list off the top of my head since I have a lot that I listen to.
But, I can come up with a short list (of course not everything I like)

Favourite bands/artists at the moment:
Samuli Edelmann (:drool: mmm his voice), Sonata Arctica, Taeyang, Kaija Koo, Suvi Teräsniska, Jenni Vartiainen, Musiqq, Jorn Lande, Allen-Lande (Jorn Lande and Russel Allen came together and did some music), Ayreon, Lauri Tähkä ja Elonkerjuu, Lauri Tähka (the band before broke up, he now does solo), Nephew, Amorphis.

Current favourite Songs:
Enkelten Tuli, Oletko Se Sinä, Ei Mittään Hätää, Vindfärd / Människopesten (it's by Finntroll), Turn All into Gold, Eternity, No 10-10, Angel in Disguise, The Way I Are (Rock version with Nephew), Wedding Dress, Where U At.

This is just a small list of my favourites ^^" I have more, but don't want to bore you. As you can tell, not much is in English and all of what I listen to currently is international. :)