Motion-Sensing Bluetooth Controller for Game Consoles

You're describing a Bluetooth Motion Controller. Examples:

• Nintendo Switch Joy-Cons: Detachable, accelerometer, gyro, HD Rumble, Bluetooth.
• PlayStation Move: Motion + light tracking (PS3/PS4/PS5 via camera), Bluetooth.
• Xbox Wireless Controller (Series X/S): Bluetooth, but no motion sensing (only impulse triggers).
• Third-Party: 8BitDo Pro 2, GameSir T4 Kaleid (gyro + Bluetooth, multi-platform).

Key Features: Accelerometer, gyroscope, Bluetooth, traditional buttons/triggers.

Note: Kinect (Xbox 360/One) used IR depth camera, not Bluetooth motion control.