Lightroom is probably one of the best programmes on the market for organising and handling images. However with a price tag of around £200.00 you have to have a lot of photographs to justify it.
At the end of the day, a little thought and a bit of organisation will probably do what you want. Before Lightroom I used to file my images by year, then shoot, and possibly a sub folder. In fact that's the way I still work even with Lightroom.
You might want to consider something along the same lines, you can then use your existing browser to view the images. Beauty about this is it cost nothing , except a bit of time ensuring you've got the structure correct.