Couple of thoughts:
First, be aware that your phono cartridge can have nearly as much effect on the sound of your system as the speakers. And, if the stylus heavily worn the sound will certainly be less detailed/crisp. What TT and cartridge are you using? There are good budget cartridges in the $50 price range that can provide excellent detail and a more "forward" sound.
Second, if you are looking for vintage speakers, two small, relatively inexpensive options come to mind; the KLH 24 or 32. Very clear, full, punchy sound. They are taller than 13", but will work equally well laying on their sides. You should be able to find a nice pair locally for $50-85. Generally, they will benefit from new capacitors in the crossover (quite easy to do...can even use wire nuts to install the new caps, and total cost would be less than $10-12), and from sealing the cloth surrounds on the woofers (vintage ar site on ebay has the right stuff). These speakers will bottom out relatively easy, but in your room will provide plenty of output before you get to that point.
There are of course many, many, many other options...and speaker preference is highly subjective (same for cartridges...which are, like speakers, transducers...and therefore widely variable in their sonic characteristics).