There are several b/w thrillers and *new wave* films of the period that are worth tracking down:
Violent Playground (1958) Stanley Baker as a tough Liverpool cop.
Blind Date (1959)Baker as a tough London cop.
Hell is a City (1960)Baker as a tough Mancunian cop.
The Criminal (1960)Baker on the other side of the law.
Prize of Arms (1962)Baker on the wrong side of the law again.
Enough of Baker. The other new wave films you should catch are A Taste of Honey, A Kind of Loving, Loneliness of the Long Distance Runner and Billy Liar.
There is a discussion of 50/60s films on my website: