LEGO™ have a NFC enabled games console called a Toy Pad that you can add to the various games consoles out on the market. The Toy Pad enables you to place characters and vehicles on the pad to register them on the game.  An introduction to this can be found here:

Like with Amiibos there is a growing number of tech savvy people managing to create their own NFC characters.  We cant recomend any apps in particular but have many clients that have managed to make them work successfully. 

The chip required for the apps to work and to be compaticble with the Toy Pad is the NXP NTAG213, which is differemt to the ammibo that needs to be NXP NTAG215.