"combine multiple feeds into a bundle - which then has its own RSS feed that can be displayed on web pages."

This is the the most important feature to me. Any of these alternatives do this?

Also important to me is the speed at which Google Reader does keyword searches across all my subscribed feeds.

I use the pyrfeed Google Reader API to aggregate categories of other sites' RSS/Atom feeds to my personal website. Basically, Google Reader is a aggregator, feed subscriber, database, and single API/XML for my website.

https://code.google.com/p/pyrfeed/wiki/GoogleReaderAPI

Do any of the web-based aggregators people are suggesting here offer a similar API?

I use the pyrfeed Google Reader API to aggregate categories of other sites' RSS/Atom feeds to my personal website. Basically, Google Reader is a aggregator, feed subscriber, database, and single API/XML for my website.

https://code.google.com/p/pyrfeed/wiki/GoogleReaderAPI

Do any of the web-based aggregators people are suggesting here offer a similar API?

I would love to get my company to work with these outstanding overseas developers. Who are they and where from?