Yes. There are different types.
Nintendo DS, Nintendo DS Lite
- Action Replay MAX DUO (March 2005)
Action Replay DS (July 2006) [Last firmware v1.71, games released later are not compatible]
- NDS Trainer Toolkit (February 2007) [available only online] Toolkit Manual
Action Replay DS Media Edition (September 2008) [available only online]
- Action Replay DS EZ (February 2009)
Nintendo DSi, Nintendo DSi XL, Nintendo 3DS
Action Replay DSi (October 2009); Later software updates to the DSi included anti-piracy and anti-hacking software that will disable the console when an Action Replay is used, thus rendering the Action Replay useless for those that have been updated.
Action Replay 3DS (2012); Does not actully work on 3DS games only DS games when used on the 3DS.