Green’s Dictionary of Slang

(orig. US) anything, whatever, a general term of vagueness, e.g. any old way, any old job.

1896		Ade Artie 171: Any old farmer [...] could buy up him and a hundred more like him.
1908		‘Doss Chiderdoss’ ‘Penny Numbers’ Sporting Times 11 July 1/3: Last night, full of fun as a nipper, / I was just right for any old stray bit of sport.
1910		‘Doss Chiderdoss’ ‘Woman’s Wear’ Sporting Times 30 July 1/3: Put on any old thing, there is naught you need bar.
1928		Randolph & Pingry ‘Kansas University Sl.’ in AS III:3 218: To say that a girl ‘will go with any old punk’ means that she is not very particular in her choice of associates.
1937		E. Anderson Thieves Like Us (1999) 49: Any old time suited him.
1948		(con. 1944) N. Mailer Naked and Dead 157: Ah’m fugged if Ah’ll wait for any ole deer.
1956		N. Algren Walk on the Wild Side 99: Scarcely-twenties looking for a daddy, any old daddy who’d tell them where to lie down.
1966		B. Jackson Get Your Ass in the Water (1974) 173: Now the old Baboon was settin’ inside on a stool / waitin’ on just any old fool.