How can you find out an agent's author list?

If an agent doesn't have a website or a very minimal website, how does one go about finding out their list of published authors to determine whether you would fit into their established mould? Is there a link/other website which would give such information? It doesn't provide that sort of thing in the Writer's Handbook 2006.

Furthermore, if one did have a list of the agent's authors, as part of your research is it essential you go and read some of their books on their author list? What happens if money is tight and you don't have the time to read everything even by borrowing from a library, especially if the agent might not even take you on anyway?

Any suggestions?

What happens if the agency says on their website that they are looking for, for example, commercial/literary fiction, mysteries, suspense and thrillers, but when you look on their actual author list you would be hard pressed to find any of their books actually falling into the categories of mystery, suspense or thrillers, but only general commercial/literary fiction?

How would you go about even convincing the agent that you might fall into the types of novels that they represent (if they haven't represented that sort of novel), if all they have done is merely state on their website that this is the sort of thing they are looking for?

Is their website list of genres enough, or do you need to provide more concrete evidence that you would be similar to authors they already work with?

And what if, in a slightly different scenario, they say they want suspense and thrillers in a general way on their site (which you could potentially interpret as including political thrillers, for example), but when you look on their title list, the only types of thrillers they have represented are murder mysteries?
Would these agents be open to new categories of thrillers or is their idea of 'thriller' narrowly defined, as shown by their author list?