jSNMP Enterprise - An optimized SNMP class library. It provides complete SNMPv1/v2c/v3 support including trap/inform handling, generation, and forwarding plus authentication and privacy password alteration. [Commercial] - http://www.jsnmp.com/products.html
Westhawk's Java SNMP stack - Lightweight SNMP stack in Java, with examples. The stack provides manager functionality for SNMPv1, SNMPv2c and SNMPv3 (authentication and privacy). It is capable of sending and receiving traps. [Open source] - http://snmp.westhawk.co.uk/
Cyberons for Java - Includes the SNMP Manager Toolkit, a class library for developing SNMP management applications supporting all SNMP management operations such as encoding, decoding, protocol data unit exchanges, and transport. By Netaphor Software Inc. - http://www.netaphor.com/products/cyberonsforjavainfo.asp
Mibble MIB Parser - An SNMP MIB parser library for Java. It can read SNMPv1, SNMPv2, and SNMPv3 MIB files, as well as simple ASN.1 files. [Open source, GPL] - http://www.mibble.org/