Remember The Milk - never forget anything again, ever!
There are many task management services with reminder services on the Web but in my opinion none as as good as Remember The Milk (RTM). The people who developed it just get it. They understand what a service like this should be like and have implemented it flawlessly.
With RTM you can add and manage tasks in many ways whether you are on your computer or on your mobile. The same goes for reminders, you can choose to receive them by email, SMS, instant messaging whatever. It’s just very very, well, useful. And if you use Firefox (alternative browser to Internet Explorer) and/or Gmail, RTM is very well integrated with the two.