In the Mahabharata, I know how Lord Shree Krishna had the end of material life as well as his body, but what happened to his body?
As I discuss in this answer, Krishna was shot by the hunter Jara who mistake his foot for a mouth of a deer. What happened next is described in this chapter of the Mausala Parva of the Mahabharata:
Coming up, Jara beheld a man dressed in yellow robes, rapt in Yoga and endued with many arms. Regarding himself an offender, and filled with fear, he touched the feet of Keshava. The high-souled one comforted him and then ascended upwards, filling the entire welkin with splendour. When he reached Heaven, Vasava and the twin Ashvinis and Rudra and the Adityas and the Vasus and the Viswedevas, and Munis and Siddhas and many foremost ones among the Gandharvas, with the Apsaras, advanced to receive him. Then, O king, the illustrious Narayana of fierce energy, the Creator and Destroyer of all, that preceptor of Yoga, filling Heaven with his splendour, reached his own inconceivable region. Krishna then met the deities and (celestial) Rishis and Charanas, O king, and the foremost ones among the Gandharvas and many beautiful Apsaras and Siddhas and Saddhyas. All of them, bending in humility, worshipped him. The deities all saluted him, O monarch, and many foremost of Munis and Rishis worshipped him who was the Lord of all. The Gandharvas waited on him, hymning his praises, and Indra also joyfully praised him.
But this is just a description of how Krishna's soul ascending to Devaloka (Vishnu's atmaswarupa, which is why it's described as many-armed), because a later chapter of the Mausala Parva describes how Arjuna cremated Krishna's physical body:
Searching out the bodies then of Rama and Vasudeva, Arjuna caused them to be burnt by persons skilled in that act. The son of Pandu, having next performed duly those sraddha rites that are done to the dead, quickly set out on the seventh day, mounting on his car.
I should add that at least according to the local legends of Orissa, when Arjuna was cremating Krishna's body the heart was incapable of being consumed by the fire, so Arjuna threw it in the sea, and the heart now resides within the Krishna idol of the famous Puri Jagannath Temple.