The Irresponsible Captain Tylor (TV)

Justy Tylor has no training, no skill, no initiative, or leadership qualities; in fact, he has nothing going for him except one crucial thing: dumb luck. This is his only saving grace, and it saves him from impossible odds, time and again. By sheer accident, he rescues the General's beloved granddaughters; for which, the General is extremely grateful, and as such, makes this inept recruit a full Captain, but gives him command of the lowliest ship in the fleet, the Soyokaze. This ship has a crew of misfits and mutineers, so the General is not at all worried about Tylor making matters worse. He has killed two birds with one stone: he has given this inept freeloader a 'reward' for saving the granddaughters, and also put a captain in command of a ship and crew he would just as well see engulfed by a black hole. Thus, Tylor begins an adventure that takes him from the lowest and highest positions of authority, from which he somehow manages to make things turn out for the best. 

Justy Ueki Tylor thought a career in the United Planets Space Force would give him an easy life: enlist, get a desk job, spend the rest of his life in quiet, boring comfort. No sooner does he take the qualifying exam than war breaks out with the Raalgon Empire, and circumstances quickly conspire to land this volunteer off the street in command of the cruiser "Soyokaze." Now Tylor faces two uphill battles - against the Raalgon fleet that wants to kill him, and against his own crew, who expect him to conform to some standard of military discipline. But as the war rages, Tylor's easy-going ways might have a better chance of converting his crew than vice-versa.

"Just Think Of Tomorrow" by Mari Sasaki

無責任艦長タイラー DVD-BOX @ VAP (Japanese)