Thank you Cattawala for this list! I have been to a few of theese so I thought that I might give your readers my review of what I liked about the ones I've visited.
4921 N. Marine Drive
5 star rating. North Marine Dr is the best spot to access the "Puptown Dog Park" at the lake. It is hands down the largest that I have been to. The really great thing is that it is at the lake! With all of the bike and jogging trails it isn't difficult to give your dog some great excersize, and of course the park is so big that there is something for absolutely everyone.
5100 N. Francisco.
5 star rating for having everything you could want. Swimming, Tennis, Baseball, Soccer and plenty of play areas for children. I have never seen a designated doggie run, but the park is so big that I may have missed it. There is plenty of open area for frizby fun so it's all good!
1425 N. Damen. I rate this park a 4.5 star. It has plenty to do for everyone. The doggie park has no obsticles course but features more than just cement areas to explore.
Lake Shore East Park
450 E. Benton Place.
4 stars for the location and beauty. I found no "obsticle park" for the dogs to play in but then it isn't a dog only park.
Walsh Playground Park
1722 N. Ashland Avenue.
4 stars for the excellent opportunities for children. The doggie section compares favoably with the Wiggly Field obsticle park.
Grace Noethling Park (aka Wiggly Field)
2645 N. Sheffield Avenue.
3 star rating because it is fairly small, and totally cement, but it does have plenty of summer shade and a doggie obsticle park next to the tracks. I drove by but didn't stop.
3035 N. Hoyne Avenue
2.5 stars. The park is tiny and I have seen bigger dog runs in peoples back yards.
I love dog training, and so having a great out of doors spot is nice. Got some training tips for everyone at http://happydogtips.com/