Here is what I do to get on servers (no screen shots sorry, but the ones other people posted should be fine):
1. Look on the Live Server Lists to find a server in the Lobby (or if 3-5 tributes are left when the game stops restarting after every match)
2. Once you have found a server in the lobby, add it to your Minecraft server list
ALTERNATE 2. If you have already done step 2 before, edit the IP of the server to the one you are trying to join.
3. Keep refreshing until a spot opens up, then join
4. When you want to find a different server, repeat step 1 and go to alternate 2, then go to 3.
I keep 1 server slot for US, 1 slot for EU, and 1 that I edit which can be for US or EU.