Four books that provide very helpful introductions to current trends in New Testament criticisms, their methodologies and applications are:   

Haynes, Stephen R. and McKenzie, Steven L. (Editors).  
To Each Its Own Meaning: An Introduction to Biblical Criticisms and Its Application. Louisville, KY: Westminster/John Knox Press, 1993.   
This single volume introduces the reader to the most important methods of Biblical criticism by covering both the traditional and more current methods, giving special attention to the way in which methods are applied to specific texts. The methods presented include source, tradition-historical, form, redaction, social-scientific, canonical, rhetorical, structural, narrative, reader-response, poststructural and feminist criticisms. Definitely a must read for anyone interested in New Testament studies. Revised and expanded July 1999 edition.  
BS476 .T6 1999  

Aichele, George, Burnett, Fred, and Castelli, Elizabeth (Editors).  
The Postmodern Bible: The Bible and Culture Collective.  
New Haven: Yale University Press, 1995.   
This volume not only introduces but also critiques seven prominent strategies of criticism, including reader-response, structuralist, narratological, post-structuralist, rhetorical, feminist, and ideological criticism. It also illuminates ongoing debates on postmodernism by exposing epistemological, political, and ethical positions in the field of biblical studies. Another must read for those interested in New Testament studies.  
BS 476 .P67 1995   

Powell, Mark Allan (Ed). The New Testament Today.  
Louisville, KY: Westminster/John Knox Press, 1999.  
"The book invites readers to take guided tours through eleven fields of NT study. The terrain is challenging to be sure but Powell has assembled a team of knowledgeable and stimulating guides (among them Fernando Segovia and Mary Ann Tolbert) who provide clear maps and expert commentary for each journey" (from back cover). 
BS 2393 .N495 1999   

Selvidge, Marla J. The New Testament: A Timeless Book for All Peoples. Upper Saddle River, NJ: Prentice Hall, 1999.  
This excellent introduction to the New Testament offers a global, pluralistic, and interdisciplinary approach, bringing the world of the student, issues involving the use or interpretation of the New Testament, and the best scholarship in Bible, Art, History, Theology, Ethics, and more, together in a readable format. While using traditional historical-critical and literary-critical scholarship to introduce the timeframe, contents, themes, and peculiarities of the books of the New Testament, the chapters also focus on examples of how the New Testament has functioned in cultures during the past two millenia.   
BS 2535.2 .S45 1999