Light-emitting devices with active electrical elements and light-emitting diodes (LEDs) are disclosed. LEDs may be mounted on an active electrical element such that the LEDs are within peripheral edges of the active electrical element. Contact pads may be arranged on the active electrical element for receiving external power and communication signals for active control of the LEDs. A light-transmissive carrier may be positioned over the active electrical element and the LEDs. Electrical traces of the carrier may be configured to electrically connect with the contact pads to route external power connections and communication signals for the active electrical element. Other electrical traces of the carrier may form a touch sensing element that is electrically coupled with the active electrical element. Active electrical elements with LEDs provided thereon may form compact sizes for use as active LED pixels configured for active-matrix addressing within an LED display.