Free Online Course (Polish Ministry of Foreign Affairs)
Just found this and it looks good! http://popolskupopolsce.edu.pl/
I started with looking up some words ... Posl*uchaj = listen Powtórz = repeat Przeczytaj = read Zaznacz = mark napisz = write down
Basically in most of the exercises you have to fill in gaps or bring words/sentences into the right order. When you press the left button, you will see if your answer was right. Just try it. I did not translate everything, after I started the lessons it became more & more clear.
It is really useful! I've had a closer look now: e.g. in the first chapter you will find an overview about how to recognise a word's genus by looking at the ending - both for nouns and adjectives and with the most common exceptions. It seems that beside the exercises this is a useful source for grammar explanations.
I used a dictionary and an online translator for everything I did not know.