Takemika

Takemika is the het ship between Takeru Shirogane and Sumika Kagami from the Muv-Luv fandom.

Canon
Sumika and Takeru are childhood friends. She wakes him up everyday and is one of the main people who holds him together. When Meiya appears in his life, Sumika is shown to be very jealous of her advances on Takeru. In Unlimited, while Sumika is absent, Takeru frequently has daydreams and wishes to see her once more.

In Alternative, Sumika becomes Takeru's main motivation to live. One of the biggest reasons the PTSD arc begins is because of his desire to see Sumika once more. When she comes back as the 00 Unit, he is very affectionate towards her. He then later vows to protect and love her no matter what.

Fanon
Takemika is considered to be the most popular and well-receved ship in Muv-Luv. While it is often debated with Takemeiya (Takeru x Meiya) fans, most accept that it is the most canon ship in the series.