Being a big guy, I have only experienced piggyback rides so I can only base this on videos or photos that I have seen.

Overhead
Reverse shoulder ride
Single shoulder ride
Cradle

One of my more recent likes are the lifts in the bridge position. After seeing that Sophi video by Ruedel, I have fantasized lying on top of a girl while in this position.

Cradle
 

I am a big fan of cradle carry

favourite
 

I'm more interested in watching then actually doing it. I'd say my favorite is probably ots and cradle carry

Rapture lifted me straight up by the armpits once. That was great. I also like it when the woman can lift me by my crotch. I’ve never been lifted overhead but I think that would be the best.

Cradle is my favourite. I like the remaining methods equally, except maybe for overhead, which I enjoy on rare occasions (the girls involved must be really gorgeous)

Big fan of front lift or hip lift

cradle lift, hip lift and double piggyback

Frontlift and than lift like a baby

front lift
 

It's definitely the front lift for me. I like to be front lifted by a tall women, preferably while kissing them. I also liek when they press me against the wall while lifting me in that way

piggyback ride the most, also cradle