Since I only know recent Eurovision (like, the last 15 years), plus some other winners, this should be super easy.
1- Switzerland 1988 (Ne partez pas sans moi)
2- Sweden 1999 (Take Me to Your Heaven)
3- Israel 1998 (Diva)
4- Ukraine 2004 (Wild Dances)
5- Ireland 1996 (The Voice)
6- Serbia 2007 (Molitva)
7- Germany 2010 (Satellite)
8- Greece 2005 (My Number One)
10- Sweden 1974 (Waterloo)
12- Norway 2009 (Fairytale)
The 90's actually have a few other winners I really liked but starting with Wild Dances (or maybe even with I Wanna?), the 00's have my favorite string of winners of any TV show ever - even Believe and Every Way That I Can are acceptable. I hope Running Scared is just an exception though.
Also: I youtubed Poupée de cire, poupée de son and now I wish I had given it some points. But thanks, Duffy!