I too, like Jafra. I was just there last night! They have the best arghileh in town, lovely coffee and food, the service is impeccable and the atmosphere is astonishing! It's loaded with antiques and very interesting art. If you can get a table on the balcony, overlooking the unending activity in the street, it's even better! I also very highly recommend Wild Jordan. The coffee is acceptable, but the view is stunning! Finally, Books@Cafe has an eclectic customer base, the atmosphere is festive and the service is fair. If you've a need or desire for something to read, the bookshop downstairs is excellent!
Welcome to Amman, Sunandit! I've been here two years now and can't honestly imagine living anyplace else on earth!