<i>Context. <i/>Gamma ray burst models predict the broadband spectral evolution and the temporal evolution of the energy flux. In contrast, standard data analysis tools and data repositories provide count-rate data, or use single flux conversion factors for all of the data, neglecting spectral evolution.<i>Aims. <i/>We produce <i>Swift<i/> BAT and XRT light curves in flux units, where the spectral evolution is accounted for.<i>Methods. <i/>We have developed software to use the hardness ratio information to track spectral evolution of GRBs, and thus to convert the count-rate light curves from the BAT and XRT instruments on <i>Swift<i/> into accurate, evolution-aware flux light curves.<i>Results. <i/>The <i>Swift<i/> Burst Analyser website (http://www.swift.ac.uk/burst_analyser) contains BAT, XRT and combined BAT-XRT flux light curves in three energy regimes for all GRBs observed by the <i>Swift<i/> satellite. These light curves are automatically built and updated when data become available, are presented in graphical and plain-text format, and are available for download and use in research.