Hey there — the q’s by type tools are meant to help highlight what games have in common, and are also, by nature, pretty general, so they may not be best for what you are looking to do (also keep in mind that a lot of games are unique not because of their underlying design, but rather the unusual way in which the game happens to be worded, and the charts can’t reflect that) — but still, I do think it can be somewhat interesting to you, and if you do want to play around w/the q’s by type tools to look for unusual games, what I would suggest is that you take a look at some of the games that fall into less common categories, or have rare combinations of characteristics —
However, more importantly — here are a couple of resources that list some of the more unusual games that have appeared —
http://www.thelsattrainer.com/assets/abreakdownofalllg.pdf
http://www.thelsattrainer.com/assets/lsatlogicgamesbreakdownii.pdf
Hope you find those helpful, and if you have any follow up just let me know —
MK