One of the most popular emulators, mainly because of its multiplatform ability, and the fact that it's completely open-source. A stable release hasn't been released since 2005, but this emulator has been ported to a multiple number of systems mainly because of its stability and open-source release. The project is rumored to be somehow outdated, the newer versions is known as Mupen64Plus.
Mupen64Plus rewritten for Android by Paul Lamb. The emulator is available in the Google Play store. The app has one free edition, and one donators edition for $0.99, however, the free edition has no limitations, the donators edition is made solely to support coders.
BizHawk is a very stable emulator supporting NES, SNES GameBoy, Nintendo 64, Atari, Sega and much more. It was mainly built for TASVideos.org, and has a ton of tools for making Tool-Assisted speedruns included, although it's still a very good and popular emulator for normal gaming. No problems reported with games from our website. The emulator has versions for both Windows and Mac. All usable plugins are coded into the emulator.
Mupen64++ (aka Mupen64k) is the emulator for online play woring with the most games. The emulator has support for peer-to-peer online play with Kaillera. Mupen64++ always uses the game save data from the host, and synchronizes it with everyone else playing.
The most popular emulator for online play, with Kaillera support, a NetPlay system allowing people to play online without a server (Peer-to-Peer). You may use this to play online with your friends from all over the world, but the closer the better.
Nemu64 is one of the oldest Nintendo 64 emulators in existance. For a long time it was also nearly unplayable due to being to slow for most PCs to run. Fortunately as both Nemu64 and the development of faster multi-Ghz CPU's progressed, Nemu64 can be played without much slowdown.
January 28, 1999 is a day which wrote emulation history. UltraHLE was released, the first succesful Nintendo 64 emulator. What many thought of as impossible was achieved by UltraHLE as the first (and only) release was able to properly play many popular titles, including Super Mario 64 and Zelda: Ocarina of Time.
UltraHLE 2064 is not just a hack of UltraHLE but a new version based on it's source code. If you want a completely new emulator then it's what you want.
Though the original team is not handling the project the people in charge of it are really tallended and their work can be trusted.
MegaN64 is a modified version of the Open Source project Mupen64+, which is licensed by GNU GPL v3. Modifications include performance enhancements for specific Phone Models such as the Nexus 4 and the Galaxy S4 and small UI improvements.
sixtyforce is an emulator that runs Nintendo 64 games. It does this by dynamically translating the code that a Nintendo 64 uses into something your Mac understands. Nearly every part of a Nintendo 64 has been painstakingly recreated entirely out of software to pull off such an amazing feat. Download sixtyforce and try it yourself!