National Police Athletic League Youth Enrichment Reauthorization Act of 2006 - Amends the National Police Athletic League Youth Enrichment Act of 2000 to: (1) rename the Police Athletic League the Police Athletic/Activities League (PAL); (2) reauthorize grants under the Act through 2010; (3) decrease the number of programs that PAL chapters receiving grant funds are required to create or expand from four to two; and (4) allow PAL chapters to use grants funds for programs to provide character development and leadership training.