When comparing Babun vs ZOC Terminal, the Slant community recommends ZOC Terminal for most people. In the question“What are the best terminal emulators for Windows?” ZOC Terminal is ranked 3rd while Babun is ranked 14th. The most important reason people chose ZOC Terminal is:
ZOC has a modern design.
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Pros

Pro Comes with bash and zsh out of the box
Babun comes with both bash and zsh out of the box. This gives both beginners and advanced users the choice of which shell to run.
Pro Comes with a package manager
Babun come with a package manager called Pact, which is an extremely simple yet powerful package manager similar to apt-get
or yum
for Linux.
Pro Easy access to powerful zsh features through integrated oh-my-zsh
Oh-my-zsh is a dead simple configuration and management for zsh (which is a pretty powerful shell), allowing even first time users to take advantage of the most powerful features it offers.
Pro Extends Cygwin functionality
Babun is built on top of Cygwin, meaning that Unix or Linux applications can be compiled and run on a Windows operating system from within a Linux-like interface.
Pro Decent, out-of-the-box remoting to Unix and others
256 color xterm is simple, but many programs simply do it wrong. Babun uses well-established command-line programs that do it right, and which then wrap them in a nicely themed package.
Pro Modern look
ZOC has a modern design.
Pro An actual "Terminal Emulator"
It's an actual terminal emulator (in the sense that it emulates a terminal) and not just a local console window app.
Pro Scriptable
Zoc provides complete automation of the client using its macro scripting.

Pro Flexibility in platform support
Originally developed for OS/2 (as Zap-O-Comm), Zoc is currently available for Windows and Macintosh.
Pro Can view and send to all sessions at once
Offers a thumbnail view of all session in thumbnails and type commands to all sessions at the same time.

Pro Supports serial and dial-up connections
In addition to telnet, ssh, and rlogin, ZOC supports direct serial connections, modem dialing, and named pipes.
Pro Tabbed sessions allows for easy navigation
Tabbed sessions mean that multiple items can be contained within a single window and can be easily navigated by the user.

Pro Hideable UI
Zoc allows for every UI component except the title bar to be hidden. All features are accessible through the context menu.
Pro Auto-Highlight feature
Feature to search for text bits in the data stream and highlight them with color/background.
Cons
Con Dead project
Babun is not maintained and uses an old version of Cygwin from 2015.
Con Cannot exit node.js programs
When trying to exit a node program using Ctrl-C, the process doesn't actually exit.
Con No tabs
Babun has no support for tabs.
Con No spinner when installing packages with gems or npm
Con Does not work with Ansible
Executing Ansible modules (which helps configure and manage computers that combine multi-node software deployment) causes errors to arise.
Con Hard to configure
It does not detect the installed shells (PowerShell, CMD, etc) automatically.
Con Options creep
It has so many options that it's hard to find the one you need.
Con Not free
Zoc requires a commercial license in order to use it, implying that it's not free.
