ACROSS
 1 Comic-strip character pops back uncooked cabbage (5,8)
 9 Live and drunk, one comic actor (7)
10 Write graffiti in shelter or small house (7)
11 Document storage: solution for smoothing out advisory councils? (6,8)
12 Game medicine enthralls teams, five of which can be found in the completed diagram (7)
14 Once healthy, 500 let breath out (7)
16 Two rebels, Southern parasites (7)
18 Goethe: a terrific source for drama (7)
20 After Sunday, doctor here supplying piece of surgical hose (5,9)
24 In a very long time, reversed speech impediment the tiniest bit (7)
25 Phosphorus alters mushy and gooey substance (7)
26 Astonishingly, Ma spies murder case involving eggs (8,5)
DOWN
 1 Young socialite with heart—ultimately, that’s a liability (4)
 2 Leader of Decency Coalition’s amorous byplay (9)
 3 Yes, Virginia, there is a greeting inside school (7)
 4 A drink suitable for the whole family? This is getting old (5)
 5 A Schubert composition for a European city (9)
 6 Hunter fit poorly in capital (7)
 7 Trash a message to hide embarrassment (5)
 8 Disorder I do recall at the beginning, for a month in revolutionary France (8)
12 Suave Sullivanski? (8)
13 Frustrated Italians surround university — Germans destroyed it (9)
15 Lawyer smashed head of insolent Florida athlete (9)
17 Runner and pitcher skirting defense (7)
19 Peel top from cherry, in papier-mâché (7)
21 Keep some containers for salts (5)
22 Athletic supporter with label for naked boy (5)
23 Lemon, say, in the middle of street (4)
 
ACROSS 1 UN + REEL (leer rev.) 4 anag. 9 ANG(L)ER 10 [i]SLANDERS 12 D + AIRY 13 INSUL(A)T + OR 15 anag. 17 EP + ICENE (niece anag.) 18 OR + LAND + O 20 MUS(KRA)T (ark rev.) 22 DAM + A + SCENE (a mad rev.) 23 B + LING 25 anag. 27 hidden 28 anag. 29 rev. hidden

DOWN 1 anag. 2 letter bank (R, I, N, G) 3 anag. 5 init. letters 6 anag. 7 anag. 8 R + ESUR + GENT (ruse rev.) 11 GIR + A + SOLE (rig rev.) 14 anag. 15 2 defs. 16 LANDS + LID + E 19 anag. 21 RAIMEN + T (air­men anag.) 23 anag. 24 anag. 26 rev.