Apps similar to WinGuake include Guake terminal, which is free and open source. Other options are mintty-quake-console, Windows Terminal Quake and Windows Quake Style Console. In total there are four Terminal Emulators like WinGuake for Windows and Linux.
Guake is a top-down terminal for Gnome (in the style of Yakuake for KDE, Tilda or the terminal used in Quake). Guake is already package by a number of distribution (among them are Fedora, Debian, Ubuntu or ArchLinux).
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An AutoHotkey script that enables a quake-style terminal-on-a-hotkey for mintty.
Companion program for the new Windows Terminal that enables Quake-style drop down and some additional features.
Windows Quake style console wrapper (cmd wrapper), that shows at Win+~ key and allow to run inside it different programs, e.g. FAR Manager.
