I personally count families, not single types. So, on my "no write off"-list, 717, 753, 764, 737NG, 319, 321 don´t show up because "family members" were written off. But that´s of course a matter of personal preference.
The majority of airliner types with spotless records were very scarcely built:
Mercure - 12
Tu 234 - 2
Tu 334 - 1
IL 96 - 16
Tu 204 - 36
So I guess the 777 with roughly 400 built is the only airliner which is around in substantial numbers without having been written off so far.
Other types mentioned in this thread:
IL 86 - in addition to the already listed accident in Dubai last September, another one was destroyed by a crashing 737 in Delhi in 1994.
747SP - a LAM had an uncontained engine failure in 1998 which resulted in a successful emergency landing but caused the plane to be damaged beyond repair.
Another interesting bit of information: there were no fatal crashes of a 737-100. There was only one economical write off after a hard landing of a COPA in 1993 in Panama City.