ICC Players

Is there any way to search for a players' games beyond the last 20 listed in their history? This is not a high rated player, but someone in the 1600-1700 range.

You can try his library: lib (playername) or type the command 'search (playername) standard' which gets you 20 of his standard TC games and the option 'more' at the bottom.
That's the only 2 ways I know.
You could ask in ICC helpchannel (channel 1) if there's a better way.

From what I hear, if you're friendly with an admin, they can get you all of a players games. If you know the ECO code, you might also be able to do an ECO search through the ICC database, but I'm not sure if they keep all the players games in this database, or just the higher rated players.