From May to August, the City of Boca Raton hosts Summer in the City; a series of concerts, games and other activities in Mizner Park.
The events pop up throughout the week- for example this coming week there's a music festival on Sunday, Memorial Day concert on Monday, and an Eagles tribute band on Friday. Most performances are free though some require tickets.
Aside from concerts there are some of fun family game nights planned like an 80s Throwback Game Night on June 22nd and July 20th. You can see the calendar of events here.
Other things to do in Mizner Park include lots of shopping, dining, the movies, a museum and more. See more about Mizner Park here.