Getting your Android display output shared to a larger screen is usually a pain in the butt. You can fiddle with HDMI cables on some devices, rely on sluggish apps, or just wash your hands of the whole thing. But wait, recognized XDA developer and CyanogenMod associate XpLoDWilD and recognized XDA developer nebkat have released BBQScreen. This is a root app that blasts your live Android interface up to a computer over WiFi, Bluetooth, or USB.
Setup is largely painless. Just grab the app and install the client on your Windows, Mac, or Linux computer. Everything should sync up once you enter the device's IP address in the client. WiFi and USB connections will provide the best performance, but XpLoDWilD suspects Bluetooth should work fine in a pinch. Judging from the demo video, the output is very smooth and only lags behind the phone by a fraction of a second.
The app UI is limited to a settings panel and notification to let you know when BBQScreen is running. The app is $2.99 and requires Android 4.0 or higher.