Is there a name for this type of insult: "I am friends with many manly men. And Gary."?
Is there a term or word appropriate to describe the trick of using a general term and then explicitly adding a specific term to strongly imply that the specific is not part of the general? The trick I see never uses a negation or a word like "except." It simply "adds" something at the end as a slight or insult to the thing being added:
My classes are filled with really smart people. And John.
Before you are the best and most clever and most attractive and Susan.
Solution 1:
TV Tropes call it "My Friends And Zoidberg" trope:
http://tvtropes.org/pmwiki/pmwiki.php/Main/MyFriendsAndZoidberg
A standard comedy trope which, at its core, takes the form:
"Group A ... and Bob."
It is often expanded to mention two or more groups:
"Ladies, Gentlemen ... and Bob."
In either version, Bob is already expected to be among the group(s) in question, but is singled out as if he's not, usually at Bob's expense;
This can be Played for Laughs in cases where it's literally impossible for Bob not to be a member of the groups mentioned.
It can also be used to deliver a Stealth Insult: "We welcome members of all professions, and lawyers." Or, inverted, it can even deliver a compliment: "You morons, and Bob."
Solution 2:
This may be another example of a paraprosdokian. See this answer.