Across
Lay down fancy red carpet for collecting Oscar (4-6)
Fly back from China in 747? (4)
I haven't cracked this one yet — but Times for the Times have:
GNAT (fly) reversed (back). I’m making a big assumption here, as I’m too lazy to check what happened in China in the 8th century AD.
Thoughtlessly move mother to an inferior place (7)
Trouble saving on the back of downturn in digital business (4,3)
Idolised son took off after school with new Tesla (3,2,1,8)
Pieces of paper to hold together with pages? (9)
Put out powder for addict (5)
Fragment of tune Ed Sheeran really could use (5)
Food shown to be overheated apparently sent back (9)
If Peter is caught near silly point, that's not really the end of the world (4,10)
I haven't cracked this one yet — but Times for the Times have:
anagram of (silly) IF PETER IS C (caught) NEAR. So good. A cape in Spain whose name literally means ‘end of the world’ or ‘land’s end’, but is obviously not. Fantastic surface too. COD.
Earth moves earlier for a seasoned lover (7)
I haven't cracked this one yet — but Times for the Times have:
‘E’ (Earth) moves forward (earlier) in A + MATURE (seasoned). BIFD by me. Literally someone who does for the love of it, not because they’re particularly good at it – a bit close to the bone given my struggle to parse this one.
Caretaker well set up for sailing eastern parts (7)
I haven't cracked this one yet — but Times for the Times have:
IN TRIM (well set up for sailing), parted by E (eastern).
So which bit of news comes first? (4)
I haven't cracked this one yet — but Times for the Times have:
THE ‘N’ is the bit of ‘news’ that comes first.
Without arms, striped coats remain hot (10)
I haven't cracked this one yet — but Times for the Times have:
BANDED (striped), containing (coats) ARE (remain) + H (hot).
Down
Pet? You shouldn't have one (4)
Make poor value bandages more expensive in A&E (9)
I haven't cracked this one yet — but Times for the Times have:
PRIZE (value) containing (bandages) all of UP (more expensive) inside A+E. I suppose if the cost of something is up, it is more expensive, but this was too much for me. The less said about cost/price the better.
Half of extremists love receiving equipment (5)
Suspect Puritan behind Christian Union's dramatic rise? (7,2)
I haven't cracked this one yet — but Times for the Times have:
anagram of (suspect) after CU (Christian Union). Dramatic, as in, at the theatre.
Queen published terms for rogue bee (5)
I haven't cracked this one yet — but Times for the Times have:
RAN (published) plus the last letters (terms) of roguE and beE. A Hindi word for ‘queen’.
Bad actor with no aspiration and little range (5)
Republican waving red flag or Democrat? (6,4)
I haven't cracked this one yet — but Times for the Times have:
anagram of (waving) RED FLAG OR D (democrat).
Vermin get it after new guy given contract (8)
I haven't cracked this one yet — but Times for the Times have:
LICE (vermin), then SEE (get it) after N (new).
Picture destroyer's current helm officer commanding, "Carry on" (10)
Notice of vacancy perhaps sent for nothing (4-4)
Timber structure in the back full of returned merchandise, mostly (5,4)
I haven't cracked this one yet — but Times for the Times have:
SPINE (structure in the back) containing (full of) STOCk (merchandise, mostly) reversed (returned).
Eg zombies eating Roger missing characters that are even fresher? (9)
I haven't cracked this one yet — but Times for the Times have:
UNDEAD (e.g. zombies) containing (eating) RoGeR (missing the even letters). Fresher (or Freshman, in the US) is a first year undergraduate.
What you might take across country with power above? (5)
Work for the Met, maybe cycling around manor (5)
I haven't cracked this one yet — but Times for the Times have:
the letters from MANOR cycling). MANOR > ANORM > NORMA. A work which might be shown in the NY Met(ropolitan Opera House).
Capsized craft supports mate once on top (5)
I haven't cracked this one yet — but Times for the Times have:
reversal of (capsized) ART underneath (supports) EX (mate once).
Surrounded by morning papers (4)
Type letters or click words in the clue