This post may be rambling, but I have spent a lot of time and money trying to determine the right '3-4' lenses (for me).
At one time or another, I have owned all of the Fuji offerings except the 27, 50-140 & 100-400. I may pick up a 27 eventually, but I have no interest or need for the 50-140 or 100-400. If I wanted to carry a bag of bricks around I would have kept my Canon FF 'L' kit.
I shoot travel, cityscape/ landscape almost exclusively. I shot portraits professionally, but I haven't done so in a few years now.
My goal is to carry as little as possible, while maintaining the ability to capture most any shot I see. I also hate changing lenses on the fly.
I have distilled my current kit down to three lenses: 16/1.4, 35/1.4 & 18-135. These three lenses do just about everything I need them to do.
I carry two bodies - X-Pro1 and X-T1 each with a lens mounted. The 16 and 35 are my 'fast prime, walkabout kit'. The 16 and 18-135 are my 'landscape kit'.
The 18-135 is an underrated lens. I have done some pretty extensive A-B comparisons between the 18-135 and the 18-55/ 55-200 combo and can't find much difference between them. The weather-resistance of the 18-135 (and 16) is a feature not to be overlooked for landscape photography. Not to mention that the IS of the 18-135 is at least one stop better than the older pair. (better 'macro' too!)
Of the lenses that I have owned, the only two I really miss are the 56 and 90. Both of the lenses are awesome.
For landscapes - I highly recommend the 16mm. It offers practically no distortion and is crazy sharp (even at f/1.4!). The 14mm is great and a little wider, but it is two stops slower. That is a BIG difference if you want the lens to double as a walkabout or event lens. The 10-24 is also great, but IMHO the forced perspective of any lens wider than the 14 make landscapes appear unnatural. (I also trend toward primes.) You do however, need at least one zoom for landscapes, because you can't always 'zoom with your feet'.
Portraits and weddings make the 56 or 90 indispensable.
So -
Three lenses: 16, 56 and 18-135. You shoot: Landscape (16, 18-135) , Portrait (56) and Wedding (16, 56) - done, done and done.
Four lenses: If you believe that an ultra-wide is a must, you can add the 10-24 or, for a lot less money, the Samyang 12mm f/2 is superb.
Or, if (like me) ultra-wide is not your thing, I would go with 16, 35, 90 & 18-135. Those three primes are killer for street/city/event and weddings. The 18-135 will be your 'Swiss Army Knife'.