Ken Smiths do what they do, in large part because of where the pickups are - the pickups are shifted towards the bridge when compared to a Fender Jazz. Rickenbackers do the opposite - the pickups are moved further out from the bridge. Smiths have less low end - they have less fundamentals than a Fender. My preference is actually for more, not less, fundamentals, so I'm not a fan of Smiths, even though I play a lot of church music. Here's a couple of my basses (I build my own):
That one (above) uses Rickenbacker spacing (justified to a 34 inch scale). The one below is like 60's Jazz spacing, but with each pickup moved 15% further out (there's a reason for that number)
Smiths also have dual coil pickups - they listen to the string at two points. That means (there is no way around this) they have a suckout in the upper mids (which is at a different frequency on every string). They get their treble content by boosting treble above that suckout, where the pickup doesn't cancel the string's signal. Some folks love that response, I don't - the pickups I use listen to the string at 1 point, so I get my articulation from the high mids, not the true treble region. I find that higher treble content "harsh" or "bitey".
So, why do I mention all of this? You asked if anyone has played anything that "comes close to a Smith". For my taste, I have basses that I definitely like better. Anyone who loves their "flats on a P bass" will also not be a Smith fan - they want something COMPLETELY different than what a Smith does. For you? you may like a Smith better than one of mine, you may not. Before you pull the trigger, you should make certain that a Smith is what you want - a lot of folks love them, but they do a very particular thing.
P.S. Smiths are not lightweights - they weigh several pounds more than what I will tolerate. The woods they use for bodies are pretty dense stuff.