In addition to the similar games listed above, which have been linked to this game specifically in the database, you may find games with a similar theme to Jet Set Radio in the following list:
While a significant portion of video games focus on combat and competition, these titles offer a less aggressive way to progress and win. None of these games enable or require the player to cause harm to another living thing -- even Mario's merciless campaign to stomp on every Goomba he meets bars him from this list. Or then there's catching and selling fish in Animal Crossing that rule that one out.
Many of them are aimed at children and families, but you'll be surprised how many explore deeper, more mature themes in their narratives, or require just as much skill as a fast-paced first-person shooter. This means there's plenty of offer for parents who might lack the reflexes (or interest) to survive a round of Fortnite.
We've focused on the games you might not expect to be played non-violently here, but you can find the full list at Non-Violent Games Of the Day
curated by James Batchelor.