Wights aren't vulnerable to obsidian; Samwell Tarly hit one wight with obsidian dagger, and it didn't do anything. However, wights are "highly flammable", as said in ice and fire wiki, and obsidian, "frozen fire" works against others. (I don't remember were others vulnerable to fire, however).
Good source for information about others and wights:
http://awoiaf.westeros.org/index.php/Others