Lego City: Undercover offers an open world to explore. While most Lego games have an open-world element in at least some areas, this one keeps play open throughout so that children can enjoy exploring at their own pace.

It has the usual tongue-in-cheek approach to storytelling. Here though, rather than famous movie franchises, it's the police drama that the game is sending up for comedic value. It also pokes fun at games like Grand Theft Auto, without straying into questionable territory. As such it is a family-friendly alternative to that kind of police-crime experience.
This was originally launched on Wii U and has been ported and upgraded to PlayStation 4 and Xbox One. The Nintendo 3DS version is a slightly cut-down experience but still offers an impressive open-world Lego game that you can play on the go.