How to run multiple feeds

I want to add multiple feeds but after I add a second the import fails with a 'no new nodes' message. I have tried using the same content types with a new importer and creating all-new content types with a new importer.

Can someone please verify that multiple feeds to different feed sources are possible. I would also like verification regarding the configuration of content types and importers please. Can we reuse any existing content types and/or importers?

Thanks for any feedback.