In the immediate vicinity: Ben Davis Paintball, Proving Grounds.
Others: Paintball Heat, Badlandz, Paintball Valley, Asylum Extreme, Paintball Barn, Third Eye PB
They do a great job of maintaining a safe and family-friendly environment. A 10-foot-tag rule is in effect during open play, so you don't have to worry too much about the little ones getting nuked. The regulars are a good bunch and are happy to help a willing newb lean their way around.
Looking at the crowd, you'll usually see a pretty good mix. Everything from 'hard-core' SpeedBallers, to camo-shrowded/mil-sim WoodBallers, to a family with Sunday brunch in the staging area.
The fields are in a primarily wooded area. For the most part, you get to play in the shade ;-)
The monthly 3-man series is perfect for a team to break into tournaments. But, it also draws teams/players from a wide range of skill levels.
Whether just starting or a seasoned veteran, I also recommend this field to any player.
Proving Grounds, Ben Davis Paintball, White River Paintball.
PG is a tournament only type field. Ben Davis is closed. White River is woods only and farther away as well as more expensive.
I've played at this field since they opened 13 years ago. It has changed hands a couple of times but the quality of the field has always remained very high. Prices are cheap and excluding private games it's BYOP. Safety and fun are the primary concerns. The new owner has expanded the playing fields and staging areas significantly. They run monthly leagues with prizes as well as 3 "Big Games" a year that is sponsored by Tippmann.
The fields include everything from heavy woods to a regulation 7 man air ball field. While they don't do CO2 fills they do have 3000 and 4500 pushbutton air fills. CO2 users can rent an air tank for $5 and get all day fills for free.
I highly recommend this field to any player whether they are just starting or a seasoned veteran.
Check out their website for details on times and prices.