The descendants of the Pandavas are listed by the sage Parashara in this chapter of the Vishnu Purana, starting with Arjuna's grandson Parikshit:
I WILL now enumerate the kings who, will reign in future periods The present monarch, Paríkshit, will have four sons, Janamejaya, Śrutasena, Ugrasena, and Bhímasena. The son of Janamejaya will be Śatáníka, who will study the Vedas under Yájnyawalkya, and military science with Kripa; but becoming dissatisfied with sensual enjoyments, he will acquire spiritual knowledge from the instructions of Śaunaka, and ultimately obtain salvation. His son will be Aswamedhadatta (a son given by the gods in reward for the sacrifice of a horse); his son will be Asíma-krishńa; his son will be Nichakra, who will remove the capital to Kauśámbí, in consequence of Hastinápura being washed away by the Ganges; his son will be Ushńa; his son will be Chitraratha; his son will be Vrishńimat; his son will be Susheńa; his son will be Sunítha; his son will be Richa; his son will be Nrichakshu; his son will be Sukhíhala; his son will be Pariplava; his son will be Sunaya; his son will be Medhávin; his son will be Nripanjaya; his son will be Mridu; his son will be Tigma; his son will be Vrihadratha; his son will be Vasudána; and his son will be another Śatáníka; his son will be Udayana; his son will be Ahínara; his son will be Khańd́apáni; his son will be Niramitra; his son will be Kshemaka: of him this verse is recited; "The race which gave origin to Brahmans and Kshatriyas, and which was purified by regal sages, terminated with Kshemaka; in the Kali age."
Arjuna's descendant Kshemaka was killed by his minister, as I discuss in this answer. Thus ended the glorious Kuru dynasty.