Kantoku Fuyuki Todoki

Married couple comedy where husband is an otaku 

Self-aware shows about the lives of people who work in the anime industry. Both include cameos of real people, have references to EVA in their first episode (Insufficient Direction is about the director of EVA, Hideaki Anno), and the ending themes are all from well-known, older anime.  

Comedy about a life of a married couple. Both have short episodes. 

Both are comedy anime with short episodes and simple, flash animation. MC is lazy and kinda useless, the difference is that one MC is otaku while the other one is yolk. 

Both are clice of life comedies. Both main characters are otaku and both anime are full of references. Both have "simple" style of animation. While in Kantoku Fuyuki Todoki the main character is a male, in Lucky Star the main character is a female. 

Short anime about the daily interraction of adult and/or married couples (though in Kantoku Fuyuki Todoki one is depicted as a toddler, but that's just analogy).