Hi everyone,
I stumbled onto this site because I was trying to find out how to bypass the whole "this device doesn't support flash" problem. I was trying to go to AMAZON and listen to my music library. I was a bit upset that I couldn't. But, you all helped me a lot because I found the mirror share on my TV. I installed the app on my tablet - when to my amazon on my tablet and there ya have it. So. it seems to me, that whatever you can see on your tablet, you can share to the LG TV with no problems.
The only problem I still had was that I was trying to watch Turner Classic Movies and realized I have to have a paid television service that includes TCM.
So, problem basically solved. Whatever I can get on my tablet - I can cast to my LG television.