I can't answer because you only ask for 3 cues, but if I did answer here would be my top six in no particular order:
1)
Bert Schrager - 57" six floating points, a great pigskin leather wrap. Made for me in 1992. (I also have a Schrager sneaky that's great, too).
2)
Judd - curly maple w/cocobolo handle (no longer have

). This cue was made for me by Judd in 2004.
3)
1986 Franklin Southwest that Billy Steele owned & used
4)
Cory Barnhart purpleheart 26 1/2 conversion
5)
My "Mutt" cue - davis blank that guido orlandi made wrapless; Barnahart added the matching buttsleeve, ivory hoppe ring, black linen wrap & his finish; Ernie Martinez made a shaft for it to my specs. (current playing cue kept in my locker)
6 & 6a) I have two
Sugartrees I love: one wrapless full-spliced made to my specs; & a wrapless plainjane w/curly mayple and rosewood handle (one shaft 12.5, the other closer to 13mm)
All of the above cues have shafts around 12.5/12.6mm & are flat-face big pins. None are ivory joints or ivory ferrules.
Some cues I love but don't use because the shafts are around 13 mm and would need to be cut down to use regularly, but I don't have the guts to do so or are collectable:
1)
JMW wrapless purpleheart full-spliced made from scratch w/sleeved ivory flat-faced joint w/big pin.
2)
Steve Klein Southwest style cue w/leather wrap & two great shafts w/phenolic flat-faced big pin joint.
3) 8-point
Kikel w/leather wrap, 3/16-14 phenolic joint
4)
Harvey Martin that I just own because I always wanted one, but I could definitely play with it, I just don't.
5) 2000
Josswest w/stainless collar flat-face radial pin (just had refinished w/smooth black leather wrap. Two original Stroud shafts. Love the cue but the butt is a little heavy for every day use for me and I'm not a fan of ivory ferrules - but the cue hits really nice & crisp.
I also own a Schon shaft that was made in the mid 80's (Runde era) that I will not sell - it's 12.5mm and weighs 4.7oz.
Sorry that I couldn't do this in only 3 cues. I have trimmed this down from about 20+ cues I currently own. Only the Judd I no longer have.
Dave