I haven't paid for an app yet
.
I have had my phone for nearly a year.
Games
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Fruit Ninja
Drag Racing
Angry Birds
They have game emulators for SNES and NES such as Snesoid Lite and Nesoid Lite. If you have any ROMS of these systems or can download them, then you can play them on your phone. There are other emulators for old game systems as well.
Music
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TuneIn Radio
Readers
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Google Books - You can download and read books for free. TONS of books.
Tools
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Citrix Receiver - AWESOME tool.
2X Client and PocketCloud - RDP tools. I use these to remote into Windows servers and workstations from my smartphone or tablet.
SpeedTest - Test the speed of any Internet link
Connectbot - Terminal emulator program. I use this to SSH into any Linux or UNIX host.
SSHDroid - Another terminal emulator / SSH program
WoL Wake On LAN - You can wake up any machine that supports WOL with your tablet when the machine is powered off.
I have other tools so that you can stand up SSH daemons on your smartphone or tablet as well as VNC tools.
Essentially with all of those, you would be able to connect into and administer any network, server, or workstation.
If you are into rooting your device, I'd have to rummage around. I've been able to do everything that I want with my Android devices without rooting them.
If I buy another Android phone, then I will get into rooting hardcore.