This puzzle is part of the Puzzling Stack Exchange Advent Calendar 2022. The accepted answer to this question will be awarded a bounty worth 50 reputation.
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Across
1 Pollo accompanier
6 Flies
11 Ministerial dress
14 Excrement
15 Gotta go (2 words)
16 Primary
18 Try to win
19 An Asian fruit
20 A record
22 A putative play about what one really wants beneath the Christmas tree (4 words)
25 City near Ramla
26 Shawarmas, sort of
27 Blacklight emission: abbr.
28 King from Benjamin
31 Line from Pulp Fiction (3 words)
33 Polish film of 2018
34 Comparative, in tempo
35 HIV, e.g.
36 (with 55 Across) A Teletubby
38 A putative play about a Frozen princess at Yuletide (2 words)
45 Curry
46 Goodbye
47 Theft
50 A real play, putatively about Santa's visit (3 words)
53 It slips my mind: abbr.
54 It decides what's Span.
55 (see 36 Across)
56 Saxophonist-bandleader Georgie
59 Relevant
64 Bono mate
65 Flyer Chang
66 Boomerish, perhaps
67 2022 hurricane
69 A putative play about Santa's trip (3 words)
75 Soap writer Anderson
76 Try fooling (2 words)
77 Fork and knife, for example
78 It may be ethnic
79 Hammond startup
80 Overweight
81 However
82 Seaweed jellies
83 Mayan ethnohistorian Eduard
Down
1 Like fine wine
2 Germanic letter
3 Darn
4 (see 9 Down)
5 Tornado rider
6 New Zealand evergreen
7 Putative Miss Huggenkiss of Springfield
8 "El ___ Pasa"
9 (with 4 Down) The playwright (2 words)
10 Floor in London
11 Nannies
12 Where to bowl
13 A quantity of garbage, perhaps
17 Innocent
21 Omicronian leader
23 Mrs. Bunker
24 Mikado lyrics (2 words)
28 Baths
29 Fails to be
30 Early ISP
32 Quantum electrodynamicist Paul
33 Deejay Casey
35 Appt. book, perhaps
37 A horse loser
39 Pest on plants
40 RStudio, e.g.
41 Game series begun in 1989
42 It may be high
43 Saki
44 Surrender
48 Without a date
49 Those in Scotland
51 Mesopotamian
52 Electronics manufacturer
56 Knee tissues: abbr.
57 Oopsies: hyph.
58 Isolated
60 Italy's heel
61 Cheering
62 Nicaraguan leader
63 Vex
64 Dress
66 Grey snow
68 Cars
70 You are likely to be eaten by it
71 Hamm and Lord
72 Coward
73 Otherwise
74 Flemish river