The first of the original Avengers to appear in the MC2, Thor is revealed to be the Lord of Asgard in A-Next #1. When Loki attempts to steal the enchanted mace 'Thunderstrike' from Kevin Masterson, he transports the assembled heroes opposing him to the Isle of Silence on Asgard. However, Kevin ends up transformed into the heroic Thunderstrike when he leaps into Loki's magicks and saves the other heroes by summoning Thor to their aid with a huge signal in the sky.
Thor greets the assembled heroes with warmth, despite at first mistaking Kevin for his deceased father, Eric Masterson, the original Thunderstrike. After a celebration, Thor sends the heroes back to Earth using Mjolnir, leaving them with the parting words 'The planet spins! The page turns! And the world still needs heroes. May each and all prove worth of the privilege before you!'.
We don't see Thor for quite sometime until Last Hero Standing #4 when, as a result of Loki's scheme to end the Age of Heroes, Thor encounters his former teammate Captain America alongside other heroes stranded on Asgard. With the Hulk on a rampage thanks Loki's spell, Thor and Captain America discuss the latter's declining abilities and Cap reveals he intends to retire after this final mission (Last Hero Standing #5).
Thor transports the group of heroes back to Earth to confront the Hulk and find Loki. When Spider-Girl reveals Loki, Captain America confronts him as Thor battles the Hulk. Loki's spell is almost sealed by the spilling of fatal blood when Thor nearly kills Hulk. But thanks to Captain America breaking Loki's spell by destroying his dark crystal at the cost of his own life, the day is saved.
Thor banishes Loki to Limbo and the Hulk voluntarily exiles himself alongside the god of mischief to atone for the destruction he has caused. As Captain America lays dying Thor intervenes, combining Asgardian life force with the spirit and power of Cap's country channeled through Mjolnir to transform the heroes soul into a new star that will inspire generations to come.
In the sequel series Last Planet Standing, all of Asgard is threatened when Galactus launches an attack on the Realm Eternal, seeking the Odinsword in his quest to satiate his endless hunger. Despite Thor leading all of Asgard Assembled against Galactus and his Herald Dominas, Asgard is destroyed and Thor is taken captive by the world eater as survivors of the attack flee (Last Planet Standing #2).
Later, with Galactus' plan nearing it's completion, his Worldship containing energy from a thousand worlds is destroyed when energy from Captain America's Star overloads the containers, freeing Thor. Thor arrives on Earth in time to witness Galactus and the Silver Surfer merge into a new being and reverse the destruction caused by Galactus.
While this is Thor's last present day on-panel appearance we do meet his daughter Thena on a mission for him in Avengers Next #2. We also learn that both Thor and his father Odin are attempting to revive Asgard using the Odin Power in Avengers Next #3 as well as glimpse a younger Thor in a flashback in this same issue.
And that's it for Thor in the MC2 at present. A more mature Thor, the loss of Asgard and the introduction of Thena certainly lend themselves to future stories, which I sincerely hope we get to see someday.
Until I learn to how to speak like the Asgardians, I remain
frogoat