Some of the people that posted above obviously didn't read the original post before slapping the thread with the standard "Task Killers are Evil" reply.
I simply want my browser or whatever app to "close" to the point that when I "open" it again I start with the standard "home" page/screen. As it stands now, I have to jump through way too many hoops to get this desired behavior.
One option is to hit the "back" button until the app backs all the way out and exits on its own. This could be easily be 5, 10, or more times in the case of the web browser. Another option that has been suggested is to use the "built in task killer." This requires several more clicks to accomplish than I really want to deal with:
Home button,
Menu button,
Settings,
Applications,
Manage Applications,
Running,
Scroll to find what you want to kill,
Tap it,
and finally hit "Force Stop."
I have found 2 apps that at least try to help: The latest version of "Advanced Task Killer" and "Task Killer (Froyo)" can get you to the last step in the litany above in 2 or 3 steps and then you can hit the "Force Stop" button.
However, I really would like something even quicker and I don't like the idea of having to "Force Stop" my app just so it will start nice and clean the next time I open it. There really should be a better way!