Saint Anthony Central Park sits on the city's municipal complex and shares a block with the fire department, city water tower, community center and the high school (which houses the community pool). There is a veterans memorial just off of Silver Lake Road. Water Tower Park also occupies this block.
Playground and Splash Pad
Although you cannot see either from the street, this park has a good sized playground and a splash pad. 
The splash pad is a little scary. It is one large concrete area with a tall sprinkler in the center. While most splash pads are on concrete, the room to run makes me nervous. Wet concrete + room to run + a lot of kids = scary for parents but fun for kids. The splash pad usually opens in late May and closes in early September.
35 Best Twin Cities Splash Pads & Wading Pools
Saint Anthony Skate Park
The park is also home to a skateboard park and sports fields and courts. The skate park is closer to Water Tower Playground on the south side of the park than Central Park's playground and splash pad.
Winter at Saint Anthony Central Park
In the winter, the village maintains an ice skating and hockey rink at this location. Skate the Twin Cities: Where To Find Free Outdoor Ice Rinks
Birthday Parties at Saint Anthony Central Park
The shelter at this park can be reserved. Visit the Community Services Facility Rental Page (you'll need to create an account) or contact Community Services at 612-706-1166 to do that. Twin Cities Birthday Parties for Kids: Party in the Park