While exploring Mysore, you will come across a horse at least once. You will see bunch of them near Mysore Palace and Town Hall. Most of them are tongawalas (horse cart) in which a small family can take jolly ride.
If you want to go solo on a horse, then Ganjam in Srirangapatna is the place. Srirangapatna is about 14 kms from Mysore and is an ideal place for horse riding. I took this photograph of a horse and an equestrian near Gumbaz, a mausoleum and a tourist place.
Camera – Sony A 5100 Edits – Photoshop for mobile