Across
Greek expert on the Underworld put to shame (8)
Economies turned round firm producing fine plaster (6)
Unreal, being aboard sinking boat with Atlantis appearing anew? (13)
Girl with needle full of red blood? (6)
Spies must capture Bloom up to tricks in the country (8)
Constant thundering and in Lancaster maybe small downpour (10)
Bush with sharp spines: son's lost much blood (4)
I haven't cracked this one yet — but Times for the Times have:
GOR{s}E (bush with sharp spines) [son’s lost]
Books of past and series of unremembered days (4)
Rugger international in which French score, holding second Scottish team (10)
I haven't cracked this one yet — but Times for the Times have:
VINGT (French score – 20) containing [holding] S (second), contained by [in] LION (rugby international). ‘The Lions’ is the nickname of various teams representing England and/or Great Britain internationally at Rugby Union or Rugby League . I also just discovered that ‘The Lions’ is the nickname of Livingston F.C. but this is probably not known widely enough for the setter to have made use of it in the clue. Edit: There’s more about the town and the team in my first comment in the discussion.
Lower price in competition for some sirloin (8)
Pause in bar after piano — nothing played fast (6)
I haven't cracked this one yet — but Times for the Times have:
P (piano), REST (pause), 0 (nothing). Musical direction.
Move swiftly around English supporter with Ford in pedestrian zone (5,8)
I haven't cracked this one yet — but Times for the Times have:
ZING (move swiftly) containing [around] E (English) + BRA (supporter) + CROSS (ford)
Rabbit shot with rook appearing in stories (6)
I haven't cracked this one yet — but Times for the Times have:
GO (shot) + R (rook) contained by [appearing in] ANA (stories). Fortunately the rabbit came up here very recently as I only knew it previously as a goat.
Early bird succeeded coming in to trap fish (8)
I haven't cracked this one yet — but Times for the Times have:
S (succeeded) contained by [coming in] NET (trap) + LING (fish). A mildly cryptic definition here.
Down
Nancy's milk at home one's knocked back first (7)
I haven't cracked this one yet — but Times for the Times have:
LAIT (Nancy’s milk – French) + IN (at home) + I (one) reversed [knocked back]
Sign in East Street with one copper left in crowd (11)
I haven't cracked this one yet — but Times for the Times have:
E (East) + ST (Street) + I (one) + CU (copper) + L (left) contained by [in] GATE (crowd e.g. at a sports event)
Doctor consumed by drink making gentle progress? (5)
Delilah in French bank, caught making entrance (7)
I haven't cracked this one yet — but Times for the Times have:
EN (in in French), TIER (bank) with C (caught) contained [making entrance]. An unsignalled DBE for those who are concerned.
Unmarried person going topless? Seemingly not! (9)
Shooter's identity questioned in Bow reportedly? (3)
Working dog on run — one seen with blackened face? (7)
I haven't cracked this one yet — but Times for the Times have:
COLLIE (working dog), R (run). Colliers mine coal; collie is a leading breed of working sheepdog
Dictatorial American soldiers encased in concrete (11)
Battle aircraftman taking ladies perhaps into Welsh lake (9)
I haven't cracked this one yet — but Times for the Times have:
AC (aircraftman) + LAV (ladies perhaps) contained by [taking…into] BALA (Welsh lake)
New online journal by daughter sent up inhabitant (7)
I haven't cracked this one yet — but Times for the Times have:
N (new) + E (online) + ZINE (journal) + D (daughter) all reversed [sent up]. I was going to say I never heard of ZINE but of course in comes from ‘magazine’ via ‘fanzine’ etc. Collins gives it a more specific meaning, saying that it’s produced cheaply and written by amateurs.
Animal doctor near frisky warhorse (7)
Figure duck disturbed cat and left shortly (7)
I haven't cracked this one yet — but Times for the Times have:
0 (duck – nil), anagram [disturbed] of CAT, then GON{e}{ (left) [shortly]
Communications from pair propping up the bar? (5)
I haven't cracked this one yet — but Times for the Times have:
The cryptic hint refers to goalposts and crossbar
Briton appearing occasionally in short history (3)
I haven't cracked this one yet — but Times for the Times have:
B{r}I{t}O{n} [appearing occasionally]
Type letters or click words in the clue