Conductive gel-based wet electrodes along with the skin preparation have been widely used for the measurement of electrophysiological signals on the skin in a health monitoring system. The use of conductive gels is necessary to reduce the contact impedance between the skin surface and electrode. However, it can cause skin irritation or allergic reactions. This issue originates from the mismatch between the soft, curvy skin epidermis and the rigid, flat metal electrode. To address the issues of conventional electronics, we introduce a new class of 'skin-like' electronic system. The electronics can be conformally laminated on the epidermis, such that it ensures high-quality data recording without conductive gels. The skin-like electronics incorporates electrophysiological-, temperature-, and strain sensors in the system for multimodal functionality. To provide robust wearability for a week, a medical spray bandage is utilized to shield the sensor on the skin. The multifunctional sensor measures physiological signals and they are recorded with a commercial wireless data acquisition system along with a releasable, skin-like connector. This novel, multifunctional electronics on the skin can potentially replace the irritable and cumbersome wet electrodes for portable, long-term health monitoring at home.