On my Desire HD the default browser doesn't have zoom icons.

My most used apps:

email/calendar - ActiveSync'ed to my work
Gmail
Skype
Google talk
DroidStack - (a stackexchange app)
TripIt - my personal travel manager :-)
Kayak - flight searcher. invaluable so far
Tweetdeck
FB Reader - better than the default one
AutoWifiEnable - learns where free wifi is available and only turns on your wireless in these areas. Good battery saver.
AppBrain - decent front end to marketplace which lets you select apps from your PC
DaTuner - very good guitar tuner
GO Launcher - I tried Zeam but it annoyed me too much
Goggles
Google Sky Map
Password Safe
Network Discovery
Picasa Tool
Soundhound
WifiAnalyzer

And I have a range of widgets for rapid control of functions, especially battery life ones. Still can't get used to having to charge the battery more than once a week!