Jane and Thor

Jane and Thor were the main couple/romantic pairing in Thor and Thor: The Dark World However, they broke up when Thor left Jane behind again, but according to Thor, it was a mutual break-up on both their parts. However, there is still a sense in Thor that he is still in love with her and vice versa.

Thor
Thor's romance with Jane turned him into a better person. Thor was later angred by Loki when he threatened to kill Jane after dealing with his older brother and the Frost Giants.

Thor: Ragnarok
The two of them have broken up since the events of the film, Age of Ultron after Thor left her again to find the Infinity Stones.