In some cases, yes. For example, area stores - including Giant Eagle, Whole Foods, and Target - accept plastic bags and plastic film for recycling. View our community recycling events for opportunities to recycle computer equipment and shredded paper. TerraCycle is another way to recycle many items not allowed in your in-home recycling container.
Check the "What do I do with ... " database at CuyahogaRecycles.org for up-to-date information on where materials can be recycled.