In Andy Field's Discovering Statistics Using SPSS he states that all variables have to be transformed.
However in the publication: "Examining spatially varying relationships between land use and water quality using geographically weighted regression I: Model design and evaluation" they specifically state that only the non-normal variables were transformed.
Is this analysis specific? For instance, in a comparison of means, comparing logs to raw data would obviously yield a significant difference, whereas when using something like regression to investigate the relationship between variables it becomes less important.
Edit: Here is the full text page in the "Data Transformation" section:
And here is the link to the paper: http://www.sciencedirect.com/science/article/pii/S0048969708009121