Encased in English-style grounds within the Royal Botanic Gardens, this Gothic sandstone mansion served as the home of NSW's governors from 1846 to 1996. The governor, who now resides in Admiralty House, still uses it for weekly meetings and hosting visiting heads of state and royalty. Unless there’s a bigwig in town, you can tour through the fussy furnishings – look for paintings by Arthur Streeton, Tom Roberts and Russell Drysdale. Disabled access is OK, but it’s best to call in advance.