The Alibi Library is an adventure – mystery story.  If you like the mystery genre you might like to try out some of these online games:

Visit Shutter Island if you dare  :

http://game.zylom.com/servlet/Entry?g=49&s=6098&nocache=1346774151900

(you will need to be patient while the advert plays, but this is the only way to make the game free)

Or how about trying to defuse this bomb from a Hardy Boys adventure:

https://www.herinteractive.com/games/hb/minigame/play-now.php

In this Covert Front adventure secret agent Kara must  infiltrate the mansion of a notorious scientist, Karl von Toten, where she must discover the incredible secrets that lie within and escape with her life.

http://www.mysterygamecentral.com/games/CovertFront1Play.html

While your at the sites hosting the games have a look around -there might be something else you´d like.