Ha. Ha. Ok, I suppose I'll start.
"And indeed We created the heavens and the earth and all between them in six Days and nothing of fatigue touched Us." Qaf 50:38
I liked this as a muslim because it ran counter to the 'challenging to the mind' biblical narrative, of God taking a nap on Saturday.
Strange how Two people can look at the same thing. This verse contains the macho/showoff meme that annoys me very much whenever I read (reed) the koran. There is a proverb in Japanese that goes something like: "I eat broken glass and it does not hurt me". This verse and a lot of other verses that contain this meme always sounded like the japanese proverb to me.
"And We have indeed made the Qur'ân easy to understand and remember, then is there any that will remember (or receive admonition)?" Al-Qamar 54:17
I liked this because it challenged many muslims relying on blind following of some sheikh.
That's what I've got so far. I've got more, but I'm a procrastinating perfectionist; I'll get it done right, later.
I like this verse. But I will admit it is because I am very single minded about reforming/destroying islam whichever comes first and this verse is always useful for my side of the argument.