The following resources are not topic-specific and together cover a whole spectrum of levels in the career span. There is currently much more of a focus on early-career opportunities here, and it could use the addition of a comprehensive, free grant database. However, it appears that there is no single existing resource that logs all position and funding opportunities. Different databases instead seem to acquire their data in different ways. Ideally it would be nice if one day these databases could join forces, but for now the closest to a comprehensive list of all opportunities is a combination of different lists, as seen below.
As a note, the Johns Hopkins database, listed first, is probably the largest, though other resources include listings that it misses.
Also note, the columns below correspond to the level one would be at once they have taken the position or funding, not necessarily the level when they applied for it.
Finally, the list does not directly cover "Industry" positions since there is an abudnance of such websites online. The page of Psychology- and Neuroscience-specific opportunities, though, does cover industry lists that are geared to the field.