The best replacement for dualshock 3 is sixaxis.

The best alternatives to dualshock 3 are rated as following:
★★★★★  sixaxis
★★★  xbox 360 controller
★★  dualshock 2
★★  dualshock 4
★  sixaxis controller
★  360 controller
★  sixaxis difference
  sixaxis ps3
  xbox controller

Your alternative for dualshock 3 is not listed? Suggest!
Speaking about dualshock 3, one probably shouldn't forget about pcsx2.

Other search terms related to dualshock 3 and their ratings are:
★★★★★ pcsx2
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dualshock 3
sixaxis
xbox 360 controller