The App Browser lists a whole lot of apps. Here's a few of the most useful for beginners.
|**Function**|**App name**|**Description**|**App Browser name**|
|File Manager|pcmanfm|File manager (explorer)|pcmanfm.tcz|
|Web Browser|Opera browser | a basic web browser |opera.tcz |
|Web Browser|Firefox|a full featured web browser|firefox.tcz|
|Instant Messaging|pidgin|multi-protocol Instant Messaging (IM) client|pidgin.tcz|
|Office App|Open Office |word processor, spreadsheet, slideshow, drawing, database|oo2.tcz |
|PIM|osmo|Personal Info Manager: addressbook, calendar, tasks and notes|osmo.tcz|
|Image Editor|gimp|Gnu image manipulation program (like Photoshop)|gimp2.tcz|
|Paint|mtPaint|Paint program create bitmap graphics|mtpaint-3.21.tcz|
|Draw|inkscapelite|Vector graphics draw program (like Illustrator)|inkscapelite.tcz|
|Music Player|Rhythmbox|Music player|rhythmbox.tcz|
|Video Player|vlc|Media player plays most audio and video formats|vlc.tcz|
|Music workstation|lmms04|Linux Multimedia Studio|lmms04.tcz|
|Email app|thunderbird|Email program|thunderbird3.tcz|
|Clock|xonclock|Analog clock|xonclock.tcz|
|CD/DVD burning tool|Brasero|CD/DVD burning app|brasero.tcz|
|Plain text editor|beaver|A simple text editor|beaver2.tcz|
|EBook reader|fbreader|Ebook reader|fbreader.tcz|
Games
|Tetris|itetris|intelligent tetris game|itetris.tcz|
|Breakout|lbreakout|a breakout game|lbreakout.tcz|
|Pinball|pinball|Emilia Pinball game|pinball.tcz|


Full list of currently available apps/extensions for TC: http://distro.ibiblio.org/pub/linux/distributions/tinycorelinux/tcz_2x.html