We asked for money at our wedding as we were saving for a house deposit, had most things as I had been living alone for years and also we married in our home state, so it was preferable not to transport large gifts. Everyone gave money, except for my dad who gave a Myer gift voucher which we purchased a full dinner set with. I think only one person grumbled, but many others were very thankful. We decorated a large money box and left little envelopes decorated with our initials with it.

Personally I don't see any difference between asking for money and having a registry. If anything I hate being made to purchase a gift that I do not like as it is the only one that fits into my budget.