You don't give us the language, but if your regex flavour support look behind assertion, this is what you need:
.*(?<!a)$
(?<!a)
is a negated lookbehind assertion that ensures, that before the end of the string (or row with m
modifier), there is not the character "a".
See it here on Regexr
You can also easily extend this with other characters, since this checking for the string and isn't a character class.
.*(?<!ab)$
This would match anything that does not end with "ab", see it on Regexr