I've been using PsychoPy since I made the transition from license-based Softwares (E-prime) and it's been a smooth ride so far. The user community is very responsive and it's easy to get answers when facing challenges in designing experiments. https://www.psychopy.org/
I would say Psytoolkit, https://www.psytoolkit.org
I used it in research project on cognition. It is free for non-commercial use, browser-based, with good library of tasks and experiments. Many options for response time recording, such as Go/NoGo, Stop signal task, etc.
List of experiments is avaliable here https://www.psytoolkit.org/experiment-library/