if you had this system, what would you do to make it sound the best you can

I would certainly agree with upgrading from the Spendor A5s (48 Hz to 20 kHz) to a pair of floorstanders that offer great SQ of a more extensive frequency range, reaching down to at least 30 Hz (-3dB). There are many affordable options available that won’t break the bank. If a floorstander only reaches the low registers around 50 Hz, one might question its purpose. The Halfman iron rule suggests that a larger cabinet could allow for a fuller and more enjoyable sound across the frequency spectrum. So, why not opt for a floorstander that offers a more comprehensive range? Your electronics are fully capable of supporting it.

You have a nice system with very high quality parts. Congratulations!

Some good advice so far, and no one but you can know what is going to make a difference, but as a start:

Try eliminating the power conditioner entirely. You may not need it, and they often degrade the sound. Give it a try and listen.

Try eliminating the equalizer. If you have used it to "tune" the room, taking it our will make a huge audible difference, but listen for increased spaciousness, air, soundstage improvements. Maybe you don't need it. The SS3IC is incredibly complex and all those sliders and switches are doing something even if they're off, or centered, and maybe not so good. But it's up to you to decide!

You didn't mention room treatment. I've spent thousands on treatment and it made a much bigger difference, improvement, than any component I changed. Ever. I hired someone. Room treatment can really turn into a "parts cannon" project and sometimes does as much harm as good.

Have fun! Don't succumb to "audiophilia nervosa". Good luck!

(Nice RtoR, btw. I have a TEAC A3300SX, Great fun.)

I’m going to second the comments of onhwy61, baylinor, & fredapplegate.
You’ve got good stuff to enjoy music in ways too few do (see tons of folks listening to ‘music’ on the onboard speakers of a mobile device…sweet Martha…😖)
Avoid the pitfalls of perfection-seeking, overanalysis-of-minutiae, and audio nervosa (all of which completely remove the listener from actually enjoying music), give thoughtful and reasonable attention to the possibilities of room-acoustics-treatment (this is a HUGE player in the optimized-audio-game…ya can’t put a silk hat on a pig…if a room is acoustically bad, there is a bit that can be done, but it feels futile at times because a bad room is just a bad room) and…
…enjoy music!

I concur with

can anyone actually tell without listening to your system what needs to improve?

all we can do is guess. Are you going to take action on any of the above recommendations? Even that equalizer…I’m pretty sure you like it and that’s why it lives there.

You don’t even mention what you would like to improve on. I’ll be blunt…this is a BS thread.