[4] In 1976 Meskenas received the Sir Charles Lloyd Jones Prize at the Royal Easter Show in Sydney for his portrait of Donald Grant.
Meskenas painted many of his fellow-artists including Weaver Hawkins, William Dobell, Russell Drysdale, Lloyd Rees, Elwyn Lynn, John Olsen, Donald Friend, Adomas Varn and Michael Kmit.
[4][11] In 1993 he successfully sued for libel Edmund Capon, director of the Art Gallery of New South Wales, for calling his portrait of businessman Rene Rivkin "... a rotten picture ... no good at all ...".
In 2006 Meskenas received damages for infringement of moral rights when his portrait of Victor Chang was falsely attributed to someone else in the magazine Woman's Day.
[13][14] His portrait Sir Lorimer Fenton Dods (1964) is held by the Westmead Children's Hospital,[15] Desiderius Orban (1986) by the State Library of New South Wales,[16] and Max Schubert (1993) by Southcorp Wines.