Let’s just call them “slim profile” yo-yos 
Two that come to mind are the ILYY Trvth and the TimCor Starfire. There aren’t really any tricks you can do with slim profile yo-yos that are extrememly different or unique - they are just fun to play with and more challenging to land complex tricks.
Trvth:
http://yoyoexpert.com/blog/wp-content/uploads/2014/09/ilyy-trvth.png http://yoyoexpert.com/blog/wp-content/uploads/2014/09/ilyy-trvth1.png
http://shop.yoyoexpert.com/product/415/ILYY-Trvth
[b]Starfire:[/b] http://yoyoexpert.com/blog/wp-content/uploads/2011/07/Starfire-Side.png