PoP on Pocket Computers
Running the games on a PDA device (like Dell Axim x50vis which runs Windows Mobile 5) is easy thanks to PocketDos, which adds DOS compatibility to your Pocket Computer.
PocketDOS is based on XT-CE, an IBM PC/XT emulator for Windows CE which emulates a PC with an 80186 processor, 1Mb of RAM, a (S)VGA-compatible display and the standard support chips. This allows most applications designed for PC-compatible computers running MS-DOS to run on the pocket computer. PocketDOS does not emulate DOS (or any other operating system), but is included with evaluation versions of Datalight ROM-DOS 6.22, Caldera DR-DOS 7.03 and FreeDOS. In conjunction with running a 'real' DOS, PocketDOS is able to provide the same level of application compatibility as the original IBM PC/XT, while still allowing the pocket computer user access to all of the features and applications it's native operating system. In addition, PocketDOS is also able to run many other operating systems designed for the IBM PC/XT computer.
Tutorial and more information: http://www.pocketdos.com.
Screenshot .GIF:

PoP on Android devices
You can use some emulators such as NESoid, SNESoid, NES.emu, aDOSBox, anDOSBox and many others to play NES/SNES/DOS/etc. games on your android device. Here are some screenshots of PoP1 running under NESoid on an Android device:


PoP on iPhone/iPod touch/iPad
1: Get the Prince of Persia® Retro iPhone app By Ubisoft from here: http://itunes.apple.com/us/app/prince-of-persia-retro/id373984189

2: Or get a console emulator for running old games on your iPhone such as iSNES, NES.app, iPhone Emulator, etc.
PoP on MP3 players/iPod
It is possible to play PoP (DOS games) on your MP3 player or iPod through Rockbox. Rockbox is an open source firmware for mp3 players, written from scratch. It runs on a wide range of players. Official website: http://www.rockbox.org/
Screenshot by programmer:

PoP on PS3
It's possible to play PoP1 on PlayStation 3. Check out these pages for more info about the project:
http://www.ps3hax.net/showthread.php?t=25247
http://www.ps3crunch.net/forum/threads/1129-Prince-of-Persia-Updated!-%28Better-Graphics%29
http://www.mateogodlike.com/2011/06/ps3-prince-of-persia-dos-game-port-pkg.html
http://www.mateogodlike.com/2011/09/ps3-standalone-prince-of-persia-package.html
http://code.google.com/p/mateogodlike/downloads/detail?name=Prince%20of%20Persia%20DOS%20Game%20Port.pkg
Symbian
This website has many emulators for Mobile Phones, for example MasterGear allows you to play MasterSystem/GameGear games. You will find downloads for Windows, Symbian, PocketPC, etc. : http://fms.komkon.org/EmuSymbian.