Wang, B., Barahona, M. & Buck, M. A modular cell-based biosensor using engineered genetic logic circuits to detect and integrate multiple environmental signals. Biosens. Bioelectron. 40, 368–376 (2013).
In this publication, Wang and colleagues characterize six inducible promoters regulated by different systems. PLux, a 3OC6 HSL-induced promoter, isn't shown here because it's featured along other quorum sensing promoters. Two of the metal-induced promoters (ParsR and PmerT) were further optimized by tuning the expression of the regulator proteins ArsR and MerR in another work by the same authors, but these early ones are showcased due to the characteriation of many promoters simultaneously, making them comparable. Quantitative parameters could also be tuned by utilizing an extra device for signal amplification, but that's also shown only for a few systems in this list.
Some of the promoters use E.coli endogenous systems, and don't need expression of heterologus genes. Also, the dynamic range of ParsR is set arbitrarily to 2000 because the OFF state of the system had too low expression and couldn't be measured, resulting in an especially high dynamic range.