Lexin still exists in a slightly different form, and I also use Nordstedt's too, both
online here (although not every word is there, they want you to pay for that!) and in paper form (the small pocket edition and the huge student's edition because it shows en/ett/plural endings on words).
Try listening online to swedish radio or watching programmes at svt.se, there's also lättlast news 8 sidor, which is news in basic swedish that I think you can listen and read at the same time. We never used a textbook in lessons (due to cost/ availability in large numbers/ flaky class members), my teacher just made up plenty of her own exercises.
Edit- forgot to quote you jazzpurist. Yeah, I'm a swedish reader/listener rather than a speaker too. I don't post much over their either, it tends to get lost amongst all the chat.