COC International is an LGBT rights organization based in the Netherlands.
Stonewall is an LGBT rights organization in the UK.
Federación Estatal de Lesbianas, Gays, Transexuales, y Bisexuales is an LGBT rights organization in Spain. The site is in Spanish. Their links (enlaces) section lists many LGBT organizations in Spain.
Transgender Europe TGEU works for the equality of all trans people in Europe.