I currently use DreamHost to host two sites with one of them being registered there as well. The larger of the two sites has been there since 1999, serves approx. 4,000 pages per day (not counting the faviocon, robots, and the like) and has an announcement list of approx. 1,000 users who subscribed using a (DreamHost provided) automated system. I have also used DreamHost in the past to host a site for a blogger-run-blog when I had the time to post.

The web hosting aspect is easy to use with standard ftp or secure-ftp access. The management of the various other things (changing billing options, checking user statistics, web-mail, forwarding/redirecting e-mail, and setting up e-mail subscription lists) is very user friendly. The team running it always has a sense of humor in their blog and newsletter -- but doesn't let that get in the way of getting the job done.

I have contacted them over a dozen times in the past with questions on topics such as transferring domains and the use of mailing lists and have gotten helpful responses within 24 hours to each one, often much quicker. (They also have a support wiki that answers a lot of standard questions).

I had a recent (my fault, I left a door open type) of security breach and they responded to my e-mail that day and followed up again the next.

The most negative publicity they have received is that recently they had a billing error where customers who were using automatic billing on their credit or debit cards were billed in advance. They caught the error, put a notice up about it on the status page, set about reversing the charges (e-mailing each person when their charges were reversed), and explained the entire situation on their blog.