What Web-Based Email Service Do You Use?

Technodummy asks: "I travel a lot, and need a reliable webmail address. Since Hotmail was taken over, it's gone downhill, but I haven't be able to find a reliable replacement. I also share a net account, so POP is not the answer. Any ideas?" What things do you all like about web-based email services and what aspects of them do you think can be improved on? Are there any services out there that allow you to use HTTPS to retrieve your mail rather than plain old HTTP?