Are there explicit statements in the New Testament about the purpose of life? Is the purpose of life directly and explicitly addressed in the New Testament? Most of the citations I found are implicit at best.
Here are just a handful of New Testament verses relating to life purpose (based on Rick Warren's The Purpose Driven Life):


  Revelation 4:11 (NLT):
  “You are worthy, O Lord our God, to receive glory and honor and power. For you created all things, and they exist because you created what you pleased.”
  
  Hebrews 2:10A (NCV):
  God is the One who made all things, and all things are for his glory. He wanted to have many children share his glory
  
  Colossians 1:15 (MSG):
  We look at this Son and see God’s original purpose in everything created.
  
  John 17:4 (MSG):
  I glorified you on earth by completing down to the last detail what you assigned me to do.
  
  Acts 20:24 (NCV):
  The most important thing is that I complete my mission, the work that the Lord Jesus gave me — to tell people the Good News about God’s grace.


These respectfully correspond to the 5 purposes that we've been given (based on the book mentioned above):


You were planned for God's pleasure
You were formed for God's family
You were created to become like Christ
You were shaped for serving God
You were made for a mission


The verses above are, of course, a very incomplete list. There are apparently 350 references to the Bible in The Purpose Driven Life which point to many more verses.

It's well worth the read for any that are interested in a more complete answer to the question of purpose from a Christian worldview, and it includes a great number of verses to support it.