I subscribe to Young Rider, but (seeing as I'm in college) I'm probably going to let that lapse and subscribe to either Horse Illustrated or Horse and Rider. I'll have to look into Practical Horseman, too.
I subscribe to Young Rider and Practical Horseman. I love both magazines. The Young Rider one is very easy to understand and the Practical Horseman has some very helpful articles. I would love to get a subscription to Dressage Today since I've started really loving my dressage lessons.
I get Horse Illustrated, and I also subscribe to younge rider to keep in the barn because it gets quite boring when ur stuck in the snow there and they have good practice routines in them for the kids to practice when they don't have a lesson.
We get Young Rider, Horse Illustrated and at least one other one that I can't think of the name of at the moment -- I started them for my daughter, but look forward to them as much as she does, I think.
Growing up, it was Western Horseman.