Hands down, Apple's app store wins by a mile. It's a huge selection of all sorts of apps vs a rather sad selection of a handful for Zune. Microsoft has plans, especially in the realm of games, but I'm not sure I'd want to bet on the future if this aspect is important to you. The iPod is a much better choice in that case.
The new Zune browser is surprisingly good, but not as good as the iPod's. It works well, but isn't as fast as Safari, and has a clunkier interface. If you occasionally plan on using the web browser that's not an issue, but if you're planning to browse the web alot from your PMP then the iPod's larger screen and better browser may be important.
The Zune concentrates on being a Portable Media Player. Not a web browser. Not a game machine. Maybe in the future it'll do even better in those areas, but for now it's a fantastic way to organize and listen to your music and videos, and is without peer in that regard. The iPod's strengths are its web browsing and apps. If those sound more compelling, perhaps it is your best choice.
Apple now has Rhapsody as an app, which is a great start, but it is currently hampered by the inability to store locally on your iPod, and has a dismal 64kbps bit rate. If this changes, then it will somewhat negate this advantage for the Zune, but the 10 songs per month will still be a big plus in Zune Pass' favor.
Sorry for the huge review, but I'm really loving the new Zune, and hope this, as well as the excellent reviews some other people have written, will help you decide if it's the right choice for you.