What regex will match every character except comma ',' or semi-colon ';'?

[^,;]+         

You haven't specified the regex implementation you are using. Most of them have a Split method that takes delimiters and split by them. You might want to use that one with a "normal" (without ^) character class:

[,;]+

Use character classes. A character class beginning with caret will match anything not in the class.

[^,;]

use a negative character class:

[^,;]+

Use this:

([^,;]*[,;])*