While it is true that Jesus Christ vehemently denounced the outward ceremonial righteousness of the scribes and Pharisees, it is a huge mistake to oppose being religious due to having a facile understanding on the nature of faith. True faith involves obeying God on His own terms. He joyfully communes with the members of His church through the sharing of and living out the gospel. Additionally, the offices of elder and deacon are structurally set up for regulating the moral principles and worship habits of God's people.
Therefore, Christianity is, in a very real sense, religious according to the purpose and design which God has mandated to maintain His church's spiritual vitality. James, the brother of Jesus, firmly acknowledges the contrast between the dead religion rooted in hypocrisy and the worship that pleases our Creator (James 1:21-27). How we view religion should be determined by the context in which that particular word is used. Religion and spirituality are actually synonymous. If God had a problem with "religion" in of itself, then why did He give the Jews the Mosaic Law?
Us placing trust in the sacrificial work of Jesus Christ alone in no way nullifies our calling to serve God according to His will. God does not only enjoy fellowship with us on an individualized basis, but also with us as a collective body. Spirituality cannot be found within ourselves, as is proposed in Eastern religions. We are fallen creatures. We are not deities. God Himself is the ultimate solution to our problems.