Despite the loss of the old G2 (etc.) property specific bonuses, every so often bonus miles or points offers turn up on the Hyatt web site.

I checked today and there are several which might be of interest (as of 9 Dec 12):

5,000 GP points

Park Hyatt Chennai – GPCHE5 code – 1 Dec 12 – 31 Mar 13

3,000 GP points

Grand Hyatt Shanghai – GP670 rate code – 1 Dec 12 – 28 Feb 13 but on limited rates

2,500 GP points

Denver Tech Centre – RENO1 rate code – 7 Jan -1 Mar 2013

2,000 GP points

Andaz Amsterdam – AMSGP rate code – 15 Nov 12 – 13 Mar 13

Double Points

Hyatt Regency Phoenix – Arrive Fri/Sat and stay for two nights – to 7 April 13

Up to 22,000 GP points

Hyatt Regency Aruba – 5 nights min stay – 1 May 12 to 20 Dec 13

2,000 GP Points – 1 Dec 12 to 28 Feb 13

Grand Hyatt and Hyatt Regency, Fukuoka

Hyatt Regency, Kyoto

Hyatt Regency, Osaka

Hyatt Regency, Grand Hyatt and Park Hyatt, Tokyo

Grand Hyatt, Bangkok

Double Airline Miles – Etihad/Jet/Qatar only – 1 Dec 12 to 28 Feb 13

Seems to be most properties in India (Hyderbad, Goa, Chennai, Kolkata, Mumbai, Delhi, Pune), Kathmandu, Maldives, Jeddah and many in the Middle East (Doha, Muscat, Abu Dhabi, Dubai)