In this paper are summarized some of the main contributions to BioImpedance (BI) parameter-based systems for medical, biological and industrial fields, oriented to develop micro laboratory systems. These small systems are enabled by the development of new measurement techniques and systems (labs), based on the impedance as biomarker. The electrical properties of the life mater allow the easy, cheap and usually non-invasive measurement methods to define its status or value, with the possibility to know its time evolution. In this work, it is proposed a review of bio-impedance based methods being employed to develop new Lab-on-a-Chips (LoC) systems, and some open problems identified as main research challenges, such us, the accuracy limits of measurements techniques, the role of the microelectrode-biological impedance modelling in measurements and system portability specifications demanded for many applications.