Mecha Anime Name Help?

Back in 2008 my friend gave me a anime DVD it was about a boy coming to this city to see his father cause his father had sent him a message of some sort and when he arrived this mecha attached to him he also had a female friend who took care of him i remember a scene when he is in the bath and her pet penguin walks in and he freaks out another scene i remember was when he was in a fight the city would sink into the ground and come upside down under the ground and my main question is does

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