You can browse through your user-created playlists by using the Playlists menu on the player.

There is no way to browser through the current running order of songs (I assume that's what you mean by "dynamic playlist") without actually changing tracks. This was requested elsewhere, but has not been implemented.

You can play songs by a specific artist, year, or genre by doing searches on the player. Press the Search button on the remote control multiple times to see the options for doing so.