The unclued lights (one hyphened, one of two words), individually or as four pairs, are of a kind.
 

Across

 
4    Small thief accepting a lead album for cuttings (9)
10    Photographer’s kit cases with 40 systems (10)
11    Composer from Harlem, composed (6)
12    Unscrupulous member of the French Academy drops tenor (7)
14    Speeds new shipment NHS omitted (5)
15    Separate old coil (5)
16    A chore cooking vegetable (6)
22    He certainly puts his foot down (8)
23    Most haggard marine removed from unclued pair, maybe (7)
27    No organ here — now that’s a drama, we’re told (7)
29    Not acquired — left in or left out! (8)
32    French article when edited is not cut (6)
36    Greatly refurbished gallery (7)
37    Church member sounds fatuous (6)
39    Time one who made mistakes as anarchist (9)
40    Host, male, in the City, mid-week (5)
 

Down

 
2    Broadcasting out of Barcelona, irregularly (5, two words)
3    Intention to harm married girl (6)
4    Rents Scottish teleprinter on board (7)
5    Boards to send by river (10)
9    Some cook a leek. Some vegetable! (4)
15    Mexican dish — half sauce and beer (6)
17    Verbal attacks from England bowler on teams (10)
18    Grant in the White House is novel (7)
19    Relative ain’t changing in country (10, hyphened)
20    Belittle odd Wagner arrangement (9)
21    Derived SI units from birds round the tracks (6)
26    Fixer rebuilt Lee Barn (7)
28    Sound of Pelham Warner at New York opera-house (7)
30    Tissue from phlebotomy botched, Toby extracted (6)
31    Tycoon’s LSD (5)
34    Came to rest on a French bed (4)
 
A first prize of £30 for the first correct solution opened on 8 September. There are two runners-up prizes of £20. (UK solvers can choose to receive the latest edition of the Chambers Dictionary instead of cash— circle the word ‘Dictionary’.) Entries to: Crossword 2176, The Spectator, 22 Old Queen Street, London SW1H 9HP. Please allow six weeks for prize delivery.