Embarrassing bug that needs to get fixed? Share it with Barry at SERoundtable.com. He'll use back channels to have it fixed while we all get a good laugh. You can also contact that dirty industry turncoat ;) I mean helpful Googler Danny Sullivan.
Question on your site performance? Join a Google webmaster chat or attend Pubcon and talk to a Googler in person.
Need a personal favor? Send them a cookie cake ... it won't work but they'll enjoy it and post a picture online.