Open Source Screen Recorder
Screen recording quietly captures whatever is on display - tokens in a terminal, a customer's data in a bug report, an unreleased UI - so where the file goes after you hit stop matters as much as the resolution. The open source recorders here write straight to local disk in standard formats with no account, no upload, and no cloud processing in between, so the only copy of a sensitive capture is the one you decide to share.

OBS Studio
Free and open source software for live streaming and screen recording with capture, compositing, and encoding

ShareX
Free and open source Windows app for screen capture, recording, and file sharing

ScreenToGif
Record part of your screen, webcam, or sketchboard and edit the result into GIF, APNG, video, PSD, or PNG

Cap
Open source screen recorder for shareable videos, with local editing and full self-hosting

Screenity
Privacy-friendly screen recorder and video editor with unlimited recordings and no sign in needed

Captura
Windows screen recorder for screenshots, screencasts, webcam, audio, cursor, clicks, and keystrokes
Kooha
Simple screen recorder for Linux with a minimal interface and flexible capture options

vokoscreenNG
Screencast recorder for Windows and Linux with screen, area, and window capture