Menzies' journal of the Vancouver Expedition has never been published in full, but a number of extracts have been published. The publications listed below are probably under copyright, although the extracts contained therein are not:
Wilson, W. F. (ed.) (1920) Hawaii Nei 128 years ago.
Newcombe, C. F. (ed.) (1923), Menzies' Journal of Vancouver's Voyage, April to October, 1792. Victoria, British Columbia: William H. Cullin.
Eastwood, Alice (ed.) "Archibald Menzies' journal of the Vancouver Expedition: extracts covering the visit to California", Quarterly2 (1924): 265–340.