I grow about 10 cultivars. Except for couple cultivars this is based in just 1 or 2 years tasting most, so only my experience so far. I spent half my youth in fenceline large trees of I assume Rubra I love the tart/sweet combination of Mulberry. So ones that are just sweet are bland to me, but maybe not to others. Really Mullberry an ignored gem by many that may have only tasted a bland Alba.
Morus Nigra (Black Mulberry) is pretty universally considered the best tasting species, but it limited where it grows well. I have a Black Beauty alive still, but it isn’t real vigorous but did survive 0F last year. Morus Nigra doesn’t like my Southeast climate, many nursery state this so no surprise.
Pakistan great taste large size, but not real hardy. I lost both my trees last winter one was fairly established with about a 4 inch diameter trunk.
Illinois Everbearing very popular very good taste is a hybrid between Rubra X Alba. Cold hardy and put out fruit over a long period. Very good for Grazer like me that likes to eat straight from tree on daily basis, maybe not best if you want large harvest at one time to process. Silk Hope supposed to be similar I want to try it.
Shangri La Is not white it is a dark Berry like all other I have. Very good if not allowed to ripen fully while berry still is shiny, if fully ripe sweet with no tart Early fruiting in year for me.
Middleton very similar to Shangri La maybe larger and better but last year was 2nd year plant from cutting and 1st fruiting so things may change
Girardi Dwarf. Really unique plant. I have seen spelled about 3 ways but it is a true dwarf very close node spacing so compact and lots of fruit packed on small package. Fruit is good as well. Seems very hardy. More folks should look at this one as besides Nigra which often has a bush form, most Mulberry grow large and vigorous and lots of pruning to keep fruit in reach. Girardi taste still very good but maybe not the wow of some, but those of you limited on space here she is.
Kokuso No. 20 looking forward to trying this one this Year have heard good things This will be 2nd year from cutting.
Wassica Mine seems very upright growth, trying to prune and spread her out this year Last year was 1st only tasted limlted fruit.
I have a couple unknowns new this year as well. Propagated trees from Just Fruits and Exotics that were on sale as had lost Labels so will try a determine when they fruit based on their offerings.
As far as wild trees almost all Rubra trees taste good. Rubra is the only native Mulberry to U.S, but you are almost more likely to find Naturalized Alba trees whose taste varies from very bland to pretty good. Alba and Rubra hybridize so there are likely a lot hybrids of them out there as both cultivars seed about freely . Alba is a pest tree in many areas