There is a wingless Cessna in GTA 3 that is so impossible to fly that the game counts how many seconds you manage to fly it.
Would that plane fly at least 1 second in real life?
The plane looks like ...
This question is similar to these questions:
Are there any LSA aircraft that can be flown IFR in IMC?
What are the FAA requirements for an aircraft to be IFR certified?
Unfortunately I couldn't find ...