We've been using this IKEA dish drainer for years now. I like the wood accent of it and it doesn't get moldy. Because it is small, it forces us to wipe our dishes dry and put them away immediately which is actually nice.

I found this amazing product which has made my life so much easier. I love washing dishes now simply because of this amazing product. my counter stays dry and clean and the drainboard does not collect water. If you want something you can use for ever and still have it looking like new, check out the Rohan dish drainer at http://www.zojila.com
This one drains directly into the sink and is fully stainless (via Danielle)