As posted in the H300 thread...Sima Chargers work - and they include adapter tips that fit both the H1XX and H3XX players. I don't know about the H1X series yet, but I'm working on that.
For the H1XX, the tip is 3.3mm x 1.35mm, tip positive (the player is neg), and the chargers run 5.0V @ 1.9Amps. I've tested all of them with my own H320 and it's all good...
I wasn't sure if I was allowed to post links, being that I work for the company now...
www.simacorp.com is the main company site. Each of the Adapters is adjustable to 5.0V and 1.9Amps. I use a 70 at work to charge my H320 every few days...Charges quickly and safely. I've tested all of these with my own 320, and they all work flawlessly.
Keep in mind that the Prices listed on the site are MSRP...meaning you'll have to look elsewhere for "street" price, but Best Buy and Circuit City carry the 60 and 70.
Here's the SUP-70
http://www.simacorp.com/products/item.ep.html?id=494
Here's the SUP-60
http://www.simacorp.com/products/item.ep.html?id=493
And here's the SUP-75.
http://www.simacorp.com/products/item.ep.html?id=504