A lot of people like the Mardek series. RPG Shooter Starwish is one of the more memorable ones I liked (space shooter/rpg). Another of my favorite ones is Ge.ne.sis. Of course, you shouldn’t just limit yourself to these. If you go to the games drop down menu and select “Adventure & RPG” you can take a look at the more popular ones on this site.
Not sure if you count tower defense games as strategic games, but I would recommend Kingdom Rush, a popular tower defense game that seemed to have revolutionized later tower defense games. Mastermind: World Conquerer is another fairly popular game that is quite wonderful. WarLight may be another good game I would recommend if you are interested in games like Risk. Also good luck on finding good games and may your experience on Kongregate be pleasant.