[Image description: Four brightly colored sliced carrots on a cutting board; being gold, purple with orange and green interior, red with interior rings of red and white, purple with purple and white radiating from center.]
They vary in sweetness, but generally taste more intense than the ones you'd get at the store. A lot of the common varieties used for baby carrots are bred with a focus on sweetness, and these are more carrot-y in a way. It would be fun if the tasted as different as they look, but nope, all carrot.
Carrots are part of the Apiacea family (https://en.m.wikipedia.org/wiki/Apiacea). There are quite a few poisonous/toxic species in that family, and many of the species look alike to the untrained eye.
What OP described are heirloom varieties of carrots, though, not wild carrots.
I wish they tasted as different as they look, but they're pretty much like standard carrots, just generally less sweet and more carrot-y. I've also grown other varieties that were intensely sweet, but not as fantastical looking.