What is the Biblical basis for continuationism? Continuationism is the idea that extraordinary gifts of the Spirit (prophecy, tongues, healing) continue in the present day. This is contrasted with cessationism, which says that such gifts have ceased (at the closing of the canon, or the death of the last apostle, etc.). The charismatic movement is continuationist in its theology. What Bible verses and Biblical arguments support the doctrine of continuationism?

This question is the polar opposite of this one: 
What is the basis for Cessationism?
This is from Why I Am a Continuationist by Sam Storms:


  New Testament evidence of miraculous gifts among Christians who are
  not apostles. In other words, numerous non-apostolic men and women,
  young and old, across the breadth of the Roman Empire consistently
  exercised these gifts of the Spirit (and Stephen and Philip ministered
  in the power of signs and wonders). Others aside from the apostles who
  exercised miraculous gifts include (1) the 70 who were commissioned in
  Luke 10:9, 19-20; (2) at least 108 people among the 120 who were
  gathered in the upper room on the day of Pentecost; (3) Stephen (Acts
  6-7); (4) Philip (Acts 8); (5) Ananias (Acts 9); (6) church members in
  Antioch (Acts 13); (7) anonymous converts in Ephesus (Acts 19:6); (8)
  women at Caesarea (Acts 21:8-9); (9) the unnamed brethren of Galatians
  3:5; (10) believers in Rome (Rom. 12:6-8); (11) believers in Corinth
  (1 Cor. 12-14); and (12) Christians in Thessalonica (1 Thess.
  5:19-20).
  
  We must also take note of 1 Corinthians 13:8-12. Here Paul asserts
  that spiritual gifts will not "pass away" (vv. 8-10) until the coming
  of the "perfect." If the "perfect" is indeed the consummation of God's
  redemptive purposes as expressed in the new heaven and new earth
  following Christ's return, we can confidently expect him to continue
  blessing and empowering his church with the gifts until that time.
  
  ...
  
  A similar point is made in Ephesians 4:11-13. There Paul speaks of
  spiritual gifts (together with the office of apostle)—and in
  particular the gifts of prophecy, evangelism, pastor, and teacher—as
  building up of the church "until we all attain to the unity of the
  faith and of the knowledge of the Son of God, to mature manhood, to
  the measure of the stature of the fullness of Christ" (v. 13; italics
  mine). Since the latter most assuredly has not yet been attained by
  the church, we can confidently anticipate the presence and power of
  such gifts until that day arrives.