This is more commonly known as the
Tenchi Complex. Seeing as how it came out in 1992, and
Nadesico came out in 1996, I think the
former is the
proper term. Other shows, such as
Photon: The Idiot Adventures,
Dual, and
Love Hina follow in this line (Photon and Dual were, incidentally, made by
AIC, who created all of the Tenchi series)
Tenchi suffers from much of the same problems as
Tenkawa Akito, except Tenchi
never makes up his mind about whom he likes (as opposed to Akito, who does).