Recommendation for best Joe Jackson records?

Big World is my fav JJ; I'm also fond of Body&Soul btw

Joe Jackson has had a long and varied career. I love just about all of it. You found a great one there. Agree with all the suggestions above. If you can find his recording of orchestral works Will Power, it is just beautiful. Night Music is another attempt at classically influenced writing.

I think you started out with his best album but the recommendations so far are also good. Also try "Mike's Murder."

It depends on your music tastes. Each album has a certain flavor of music that Joe seems to flesh out with ease. To really get to know him and his music, I would start at the beginning with "Look Sharp!" and just keep on going through the years (Discography). IMO there are no "dogs" (some are an aquired taste!).
If I had to pick a favorite, it would be "Beat Crazy" .

Thanks everyone, I just ordered five of his LPs from my trusted vinyl-dealer in Germany, according to your recommendations.