Here's the explanation for all of the cryptic clues: (cf. Stella Zawistowski's explanation names as listed
here).
1A. Gem sur
face that's within [hidden words]
3A. That baby bear I see is rather box-like = CUB+IC [charades]
5A. Explosive starts
to
nasty
times [beginnings and endings]
7A. Cleverly inventive, but debts follow broken
engine missing an end = anagram ENGIN+IOUS [drop it + anagrams + charades]
10A. She m
ade lemons in batches of 19, 21, 25 and 30 [hidden words]
11A. The Spanish sun is going backwards! = SOL->LOS [reversals; note "Spanish" is being used twice here]
12A. Luxurious fur i
s able to contain it [hidden words]
13A. Tune that results when the show drops falsehood = FAIR->AIR [drop it + the cryptic alphabet]
14A. Destroy the
mad age [anagrams]
17A. Family elders sound a lot like nooks' accompaniments = CRANNIES->GRANNIES [homophones]
20A. Eric Braeden will fly around his disreputable
past = SOAR around anagramed PAST [containers + anagrams]
22A. Tomorrow, in Tijuana, take the top off a banana and replace it with what F equals in physics = BANANA->NANA->MANANA [beheadings et al + charades]
25A. Peak political group Down Under [ALP = A.L.P. (Australian Labor Party)] [double definitions]
27A. Give in to gravity: oh! in the middle of an unexpected album release = O in DROP [containers]
29A. Miss Abraham's birthplace, so it's said = UR->ERR [homophones]
30A. Fourth letter of Greece ends a river [double definitions]
31A. It's a long way to randomised
peripatry [anagrams]
32A. Records of disemvoweled moral failing = LAPSE->LPS [drop it]
33A. Your excuse is part of
a libidinous pattern of behaviour [hidden words]
34A. Cry "uncle!" and reap the benefits [double definitions]
1D. Swooned while fencing! [double definitions/homophones]
2D. Model tree-people are found in campsites = T+ENTS [charades]
3D. This puzzle rendered speechless makes me angry = CROSSWORD->CROSS [drop it]
4D. Wading bird got the drug cop back with ecstasy = NARC->CRAN+E [reversals + charades]
5D. Trig. character is
the tips of
the
angle = THE+TA [beginnings and endings]
6D. Aesthete's love symbol found in back street = HEART in TS [containers + reversals; note "love" is being used twice here]
8D. Has this Jewish legend heard of Smeagol? [homophones]
9D. This weapon confuses
bears [anagrams]
15D. Band aid cuts off wheelchair access = RAMP->AMP [beheadings et al]
16D. Stir
tea, consume [anagrams]
17D. Actress Teri is missing a hostile dog, I hear = GARR->GRR [drop it + homophones]
18D. Your goal is to decapitate, m
aim [beheadings et al]
19D. Bobbsey twin takes a chunk out of Indian bread = NAAN->NAN [drop it]
20D. South Carolina and Alabama are embroiled in a public outrage = SC+AND+AL [charades]
21D. Choose, after commercial, a new pet from the shelter = AD+OPT [charades]
23D. Sounds like they oughta do something about that artery [homophones]
24D. Dressed up as the aural equivalent of a nighttime visit to the fridge [homophones]
26D. Old Navy products can be made from a broken one-master = SLOOP->POLOS [anagrams]
27D. Medic and her org. tell a story = DR+AMA [charades]
28D. Longstocking or short Schwartz musical = PIPPIN->PIPPI [double definitions + beheadings et al]
29D. N.M.E. is no mate of mine! [homophones]
So what was your favourite clue? For me, it's a toss-up between 17A and 28D.