List of LM Integrated Circuits?
As you probably know, the LM prefix was for National Semiconductor, who had acquired Fairchild Semiconductor previously (who used various prefixes it seems, see comments), and who were in turn acquired by TI (Fairchild are now a separate company again though, so it may be worth searching their site).
I couldn't find a list as such (you may have to mail TI/Fairchild for something like this, or delve deep within their sites) but there is this page on decoding Nat Semi chip markings that may be of some use to you:

NSC Device Marking Conventions  

Also this on ChipDB:

Nat Semi DB (Check for Fairchild also)

Page 61 onwards here looks like a promising list also.