I wholeheartedly agree with
@r.harris1 on Photo Mechanic. It's user friendly, powerful, fast and it does as much or as little as you want. I run all of my images through Photo Mechanic for editing/batch renaming/batch metadata application, etc. Only after I've used PM do I do my post processing.
But the answer to your question really depends on what you mean by organizing. Photo Mechanic will apply searchable metadata to image files, for example. It helps to move/copy/export files to specific folders that you create. So if you are happy with having your files stored/archived in folders, and doing the work yourself, it's a gem.
But it is not a database. So I'm not sure what you are really looking for in a DAM app.
You can get a free trial version of PM at
camerabits.com, and if the price is more than what you want to pay, there's also
XnView MP which is almost a copycat of PM.
EDIT for clarification: When I say I use PM for "editing," I'm not talking about changing the appearance of photos, using Instagram filters, etc. I'm a photo editor and I'm using the word in its true sense, the way the word "edit" has been used in photography for years - to select images for publication. Everything I do after that (adjusting color, brightness, cropping, etc.) is
post-processing. Over the past few years, people outside of the professional photography world have been misusing the word "edit" to mean changing a photo's appearance. PM doesn't have those tools aside from cropping, and if you go to camerabits.com and read their pages about what PM does, you will see them using the word "edit" in this traditional, accurate sense. Hope that helps!