Please Recommend Highly Efficient Floor Standing Non-Horn Speaker Suggestions

I heard the Apertura Edena, and they were much better than the Legacy Signature SE, to my ears. 
You might consider this Apertura speaker, too: 
https://apertura-audio.com/en/products/enigma-mkii/#specifications
Frequency range : 30-30 000Hz / +-3dB
Sensitivity : 95 dB/2.83v/1m
Impedance : 4 Ω

@headphonedreams 

I was going to suggest the same. I have a pair of F502SPs that I love. They are 92db, easy to drive and more than enough speaker even for my decent size room.

The reasoning is Physics. 

Hofmann's Iron Law

three parameters that cannot all be had at the same time. They are low-bass reproduction, small (enclosure) size, and high (output) sensitivity." Hofmann stated that designers could pick two of these three parameters, but in doing so, it would compromise the third parameter.

Also not a fan of horn tweeters. I love the Revel F328Be (25mm) beryllium tweeter driven by massive 85mm dual ceramic magnets). 3-Way Triple 8" Floorstanding Loudspeaker. I have their baby brother and upgraded to these. 

Search for them and you'll find scores of good reviews and happy customers. 

Tonian Labs