I had assumed we’re looking for an anagram of “I fear filming the” which makes an actress who was in Lost, but even with checking the cast list, I couldn’t make it work. So I could use a hint, unless someone else can make something of that.
“Lost” is just the clue that it’s an anagram. The actress in question could have been dead before that show aired.
The best I can do is form “Fleming” as one of the names, but that goes nowhere.
Thank you, I should have thought of that. I did think of “Fleming” too, but one letter short of the surname and I don’t know anyone using that as a first name (no doubt someone has). Anyway, I have it now, thanks to your help:
MELANIE GRIFFITH
Nice one, Biotop.
+++++
Writer cut off after article on Greek hero (7)
THESEUS (the + seuss - s)
To DJ: You sir, air, or this will be your fault! (4, 5)
USER ERROR (sounds like you sir air or)
+++++
Name made on mysterious blobs (9)
Sorry, this probably wasn’t a very good clue - not enough information. How about this one, for the same word:
We hear bellow in his hut from test designer (9)
RORSCHACH (roar + shack)
Pretenders number is a changing shift. (5, 4)
CHAIN GANG (anagram)
++++
The top of Brokeback Mountain had an eastern slant.(3,3)
ANG LEE (angle + E)
+++++
How does Apollo return when tied to the ground? (10)
Hint: perhaps by making a great leap from the soil, on its way home?
Is the answer EARTHBOUND?
Bob Marley feared passing through canals.(10)
DREADLOCKS (double def)
+++
Hunting trip in Formosa far in the past (6)
Hunting trip in Formosa far in the past (6)
SAFARI (… Formosa far in…)
+++++
Sunrise Kiss by Natty P. Brickman (1983): “Outstanding Debut.”
number of letters?
Sorry.
+++++
Sunrise Kiss by Natty P. Brickman (1983): “Outstanding Debut.” (5, 8)
How about:
Sunrise Kiss by Rocky P. Brickman (1983): “Outstanding Debut.” (5, 8)
I got the author’s name wrong. 
It certainly was (apologies for the delay, good on you for carrying on in the meantime).
I’m not getting very far with this one - do I take it that “Natty”/“Rocky” is an anagram indicator? Aha, just got it!
RISKY BUSINESS (anagram of “Sunrise Kiss by” - I now see the film was the directorial debut of Paul Brickman) - nice one.
+++++
German city is the place to eat, locals say (5)
ESSEN (is + in)
Japanese teacher talks about crime ratio. (6)
Right answer, wrong reason - “essen” means “to eat” in German. As for yours, I think it may be SENSEI, but I can’t quite see where the ‘crime ratio’ part comes in.