I'm really not into the whole "Beginner, intermediate, advanced..." rider crap. I've never seen a written definition for these descriptions so I have no clue what makes you an "advanced" rider.
Where I ride, no one looks at you and says "Oh wow... She's such an advanced rider..." Or "Oh my gosh.. What a beginner!" I don't know. You just never hear it. Ever. Maybe it's a show thing. If it is, I wouldn't know because I don't show. I just ride, which sounds like what you're doing. Maybe I'm the only one who doesn't really care much to be put into a level. If you can ride the horse you have, and ride him well. If you can handle him and what he throws at you, then you should be proud of yourself. I wouldn't get too caught up in levels.
"I was eight years old, and I've never forgotten her face when she told me about watching you ride. She told me she saw you, and your horse was dancing in the moonlight."
-- A.C. Crispin's "Sylvester"