Do other Puranas besides Brahmanda Purana claim parity with the Vedas?

Question

https://www.wisdomlib.org/hinduism/book/the-brahmanda-purana/d/doc243151.html

8. That Prajāpati (Lord of all creatures), Lord (Brahmā) recounted to Vasiṣṭha[1], the entire Purāṇa that is on a par with the Vedas and the main theme of which is the real state of the universe.

9. The holy sage Vasiṣṭha taught to his grandson, Parāśara, the son of Śakti, this sacred (Purāṇa) which is the nectar of the knowledge of reality.

10. The holy lord Parāśara, at first, taught sage Jātukarṇya this divine Purāṇa that is on a par with the Vedas.

11. After learning the Purāṇa, the learned Jātukarṇya[2] transferred the knowledge of the supreme, eternal Brahman to Dvaipāyana[3].

12. Dvaipāyana was delighted thereby. That self-controlled sage passed on the knowledge of that extremely wonderful Purāṇa the content of which was the knowledge of the real state of the world.

13-14. For the sake of propagating it in the worlds, he taught this Purāṇa which is (highly esteemed) like the Vedas and which contains many topics, to Jaimini, Sumantu, Vaiśampāyana, Pailava who was the fourth among them and Lomaharṣaṇa the fifth.[4] He (Lomaharṣaṇa) was (otherwise called) Sūta. He was humble, righteous and pure. His modes of narration were extremely wonderful.

Answer 1

Vayu Purana claims precedence over the Vedas. Brahma first remembered Vayu Purana and Vedas came out after that.

In the beginning, out of sacred literature, the Purana was remembered by Brahma. [1] Then the Vedas came out.

Vayu Purana I.1.54

[1] This self-glorificatory claim for precedence over the Vedas is chronologically justifiable as some compilation called Purana did exist before the Atharva Veda (AV XI.7.24, XV.6.11)