As described in an answer, the astrological Varna of a person is determined by checking the Varna of the rashi that the moon is placed in.
I’m giving not one, but two examples of the Varna being different from the astrological Varna. These are the two avatars of Narayana viz. Shri Rama and Shri Krishna. We know that Shri Rama and Krishna were Kshatriyas and actively ruled/ contributed to ruling their respective kingdoms. To however see their astrological Varna, we need to see the placement of moon in their chart. Giving below:-
The position of the moon is described in the Valmiki Ramayana, Balakanda 1.18.9:
...in conjuction with Moon is in ascendant of Cancer, and when day is advancing, Queen Kausalya gave birth to a son...
As per BPHS 4.10, Karkata is Brahmin Rashi:
The Rāśi Cancer is pale-red. It resorts to forests and represents Brahmins..
Therefore since the moon is placed in Karkata Rashi, Ramaji’s astrological Varna is Brahmin, despite being a Kshatriya by birth as well as later in life when he was crowned king.
2. Shri Krishna:
As per the birth details of Krishna, the moon was placed in Vrisha Rashi.
As per BPHS 4.8, Vrisha is a Vaishya Rashi:
Taurus complexion is white ... It represents villages and businessmen.
Therefore since the moon is placed in Vrisha Rashi, Shri Krishna’s astrological Varna is Vaishya, despite being a Kshatriya by birth and helping Ugrasena rule the kingdom and actively fighting many battles.
So Ramaji and Krishna are two people from scriptures, whose birth details are available, and are treated with varna other than their astrological varna?