GreatNews is a free RSS reader that integrates with bloglines. Cool idea as an offline client would be great for travelling.
I tested GreatNews with my bloglines subscriptions and it works, sort of. Choose Channel, Add, Bloglines sync channel and choose the channels you want to synchronize:

GreatNews downloads all the unread items from bloglines and marks the feeds as read. This is a problem for me as all the items are removed from bloglines as a result. I cannot read some items online and some offline, I have to read all of them offline otherwise I loose items.
The issue has already been reported in the forum so I hope it is fixed before the release as GreatNews has several neat features.
Via jkOnTheRun