You can view ERC-20 & ERC-223 token balances of any address here. For every ERC-20 token there is a ERC-223 version. You can 'pin' tokens to make them display at the top of the list. You can also add a token by typing its name or copy&paste its address to the "Token name or address" input and clicking the + button - this will add the token to the top of the list. You can start / stop loading balances by clicking the load button. Token balances from the top of the list are loaded first. This page reads token balances directly from token contracts.