Push RSS feeds to my site

We are creating a site that is for example an extension of TMZ that will post certain things, but all automatically.

Are there any plugins I can put in wordpress and be able to plug in all the RSS feeds I want and it automatically posts everything that gets put into that RSS feed as posts on the site?

So like for example you can take TMZ’s RSS feed and put that in and then the wordpress site just makes all the same posts that tmz makes?

Thanks in advance!