Playstation tends to cater to people who like turn based games, aka interactive slideshows.

Huh.

I'm a few generations out of date on consoles, but I was kind of disappointed with console turn-based games.

I normally think of the PC as the place to go, because the mouse and high resolution are often good partners for that.

Turn-based strategy games, stuff like Paradox titles especially seemed to be a PC thing.

Do you mean relative to the other console platforms, or relative to all other platforms in general? If so, what titles?

Maybe turn-based RPGs or something, stuff in the vein of Final Fantasy? Is that what you mean?