With Content & Privacy Restrictions in Screen Time in iOS 16 and iPadOS 16, you can restrict Siri web searches and restrict Game Center features.
To restrict Siri web searches:
° Go to Settings and tap Screen Time.
° Tap Content & Privacy Restrictions, then tap Content Restrictions.
° Scroll down to Siri, then choose your settings.
You can restrict these Siri features:
Web Search Content: Prevent Siri from searching the web when you ask a question.
° Explicit Language: Prevent Siri from displaying explicit language
To restrict Game Center features:
° Go to Settings and tap Screen Time.
° Tap Content & Privacy Restrictions, then tap Content Restrictions.
° Scroll down to Game Center, then choose your settings.
You can restrict these Game Center features:
° Multiplayer Games: Prevent the ability to play multiplayer games with everyone, allow with friends only, or allow with anyone;
° Adding Friends: Prevent the ability to add friends to Game Center;
° Connect with Friends: Prevent the ability to share a Game Center friend list with third-party gamers;
° Screen Recording: Prevent the ability to capture the screen and sound;
° Nearby Multiplayer: Prevent the ability to enable the nearby setting;
° Private Messaging: Prevent the ability to voice chat or send or receive custom messages with game and friend invitations;
° Profile Privacy Changes: Prevent the ability to change profile privacy settings;
° Avatar & Nickname Changes: Prevent the ability to change Game Center avatars and nicknames.
(This how-to is based on my experiences and info on Apple’s support pages.)