MIDP 2.0 (JSR 118) is an extension and enhancement of the MIDP 1.0. All the mobile phones that are coming today are MIDP 2.0 specific phones. This devices also supports MIDP 1.0 applications and games.
This profile usually run over CLDC 1.1. Older ones run over CLDC 1.0. It is included in JTWI and MSA standards.
Enhancements from the MIDP 1.0 are:
Nokia adds MIDP 2.0 support from Series 40 2nd Edition, S60 2nd Edition, and Series 80.
Usually, we can find additional APIs installed on MIDP 2.0 devices, like MMAPI for Multimedia or WMA for messaging. See other APIs in Category:Java ME APIs
Nokia Java ME Developer's Library
JCP specification: http://jcp.org/en/jsr/detail?id=118
Sun java http://developers.sun.com/techtopics/mobility/midp/articles/midp20/