Denver Seminary has put together a helpful bibliography on the major New Testament commentaries. Their suggestions for commentaries on 1 Corinthians are listed below. (My comments are in blue)
Those marked with an * are especially recommended by Denver. Those with a # are my personal recommendations. Also, those underlined can be clicked on to preview.
*Garland, D. E. 1 Corinthians (BECNT). G.R.: Baker, 2003. (Definitely consult this one perhaps after Fee and Thiselton).
# Thiselton, A. C. The First Epistle to the Corinthians (NIGTC). G.R.: Eerdmans, 2000. (I am not as familiar with this commentary as with the one by Fee (see below), but have been helped by it when I have used it. In my opinion this should be the second commentary that you consult after Fee's.)
Collins, R. F. First Corinthians (SP). Collegeville, MN: Liturgical, 1999.
# Fee, G. D. The First Epistle to the Corinthians (NICNT, rev.). G.R.: Eerdmans, 1987. (In my personal opinion this is one of the better commentaries on 1 Corinthians. Fee is an excellent commentator and his work on this letter is no exception. There are a couple of places where he seems to make theological textual criticism decisions. This is especially true in his handling of 1 Corinthians 14. However, Fee has an excellent background in Textual Criticism and so these decisions are not without some logical grounding. If you only purchase one commentary on 1 Corinthians I would suggest this one.)
Keener, C. S. 1- 2 Corinthians (NCBC). Cambridge: Cambridge University Press, 2005. (If you can get a hold of this one it would probably be really helpful. I have not had the opportunity to use this one as of yet, but Keener is a top-notch scholar who has a reputation of being very warm hearted.)
*Thiselton, A. C. First Corinthians: A Shorter Exegetical and Pastoral Commentary. G.R.: Eerdmans, 2006.
Witherington, B., III. Conflict and Community in Corinth: A Socio-Rhetorical Commentary on 1 & 2 Corinthians. G.R.: Eerdmans, 1995.
*Blomberg, C. L. 1 Corinthians (NIVAC). G.R.: Zondervan, 1994. (If you are preaching on 1 Corinthians try to read through this one and/or Hays (below).
Hays, R. B. First Corinthians (Int). Louisville: John Knox, 1997. (If you have the opportunity to preach on 1 Corinthians you should consult this commentary along with Blomberg's (see above).
Johnson, Alan F. 1 Corinthians (NTC). Downers Grove: InterVarsity, 2004.In addition to these whole book commentaries if you are studying 1 Corinthians 12-14 you might consider consulting:
Carson, D. A. 1987. Showing the Spirit a theological exposition of 1 Corinthians 12-14. Grand Rapids, Mich: Baker Book House.