We will present our recent results on the design of semiconducting material, dielectric receptor matrices, and stabilizing and amplifying circuit structures for detection of volatile analytes in the atmosphere and proteins in aqueous solution. Besides our natural interest in designing materials that respond more strongly to analytes of interest than to likely interferents, we also emphasize the use of chemical and electronic amplification methods to increase the ratio of the desired responses to the drift (signal/noise ratio). Printable materials, especially polymers, are emphasized for the responsive layers. The use of multiple sensing elements, typically field-effect transistors (FETs), to create patterns of responses increases the selectivity of the information, either by narrowing the classes of compounds providing the responses, distinguishing time-dependent from dose-dependent responses, and/or increasing the ratio of analyte responses to environmental drifts. As a specific example, using pairs of FETs, in series or in parallel, allows device drifts to be substantially canceled while analyte responses are maintained and even reinforced. This strategy has led to significant improvements in the use of polymer-based FETs to detect pollutant gases such as nitrogen dioxide and ammonia. To increase the stability of systems used to detect analytes in solution, we sometimes separate the sensing surface from the output device in an arrangement known as a remote gate. We show that the output device may be an organic-based or a silicon-based transistor, and can respond to electrochemical potential changes at the sensing surface arising from a variety of chemical interactions. This type of configuration was applied to the understanding of vapor sensors and the effect of receptor polarity on the detection of brain injury biomarker proteins. New details about the mechanisms for sensor responses to analytes can be obtained from remote gate configurations, including connection of interfacial voltages and charge densities in responsive polymer semiconductors.