I have 5 cocktail citrus fruit trees. I think grafting the same types of fruits with each other will help with the lopsidedness.
One is a 5in1 multi variety that was given to me. I graft whatever variety I can get my hands on. I believe its up to 12 or so. The lime is the most vigorous so I graft mostly onto this branch.
My second one is my all Tangerine/mandarin tree.
My third is an all grapefruit tree.
Fourth is an all lemon/lime tree, mostly lemon.
Fifth is an all blood/pigmented orange tree.
If anyone is interested, I can list the exact varieties when I get a chance.
As for non citrus:
I have two 5in1 apple trees, both with different varieties, grafted 2 more onto one of them.
5in1 Asian pear tree. Grafted 2 non Asian varieties onto it.
5in1 plum/peach/apricot tree, grafted several onto it but the tree as a whole is not doing well.
5in1 cherry tree, grafted two more onto it.
I'm trying to do a cocktail mango tree but am having trouble finding scions.
I've tried avocados too with successful grafts but keep on getting die-back from the destination branches.