Here are the steps I (meleu) took to run the RAWeb (framework branch) locally on my Linux machine. Smart readers can probably use a similar approach to do the same on Windows.
Check here: https://www.apachefriends.org/download.html
Note: prefer to download the pack with PHP 7.2+
# be sure to have git installed before using this command
git clone --branch framework https://github.com/retroachievements/RAWeb.git RAWeb
cd RAWeb
# launch mysql
mysql -u root
# when in mysql (or MariaDB) prompt, create RAWeb database
create database RAWeb;
# copy and modify .env file for your local environment
# (use copy instead of cp command on Windows)
cp .env.example .env
# edit and adjust .env file contents
# (db credentials, app url, for static url use the same as app url)
# if you didn't create a user/password for database use
# DB_DATABASE=RAWeb
# DB_USERNAME=root
# DB_PASSWORD=
php composer.phar install
php artisan key:generate
php artisan migrate
php artisan db:seed
php artisan migrate:fresh --seed
# with XAMPP on Linux the command should be something like this:
sudo /opt/lampp/bin/mysql.server start
php artisan serve