In this question we can see that Vishnu is praised as supereme in Linga Purana which is Shaiva Purana.
Is there examples of praising Shiva as supreme in any Vaishnava Puranas or Puranas which are considerd as Satthvik by Vaishnavas?
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Superiority of Bhagawan Shiva from Krishna Bhagavata purana.:
" O Lord siva , Those devotees who have fully dedicated their lives unto your lotus feet will certainly recognise as Paramātmā in each and every being, and as such they do not differentiate between one living being and another. Such persons treat all living entities equally. They never become overwhelmed by anger like animals, who can see nothing without differentiation ". ( Srimad bhagavatam 4:6:46 )
"O most auspicious lord, you have ordained the heavenly planets, the spiritual Vaikunthha planets and the impersonal Brahman sphere as the respective destinations of the performers of auspicious activities. Similarly, for others, who are miscreants, you have destined different kinds of hells which are horrible and ghastly. Yet sometimes it is found that their destinations are just the opposite. It is very difficult to ascertain the cause of this" ( Srimad bhagavatam 4:6:45)
"O Bhagavan shiva , you create this cosmic manifestation, maintain it, and annihilate it by expansion of your personality, exactly as a spider creates, maintains and winds up its web." ( Srimad Bhagavatam 4:6:43 )
"Lord Brahmā said: O supreme lord Śiva, I know that you are the controller of the entire material manifestation, the combination father and mother of the cosmic manifestation, and the Supreme Brahman beyond the cosmic manifestation as well. I know you in that way" ( srimad Bhagavatam 4:6:42 )
"O King, when that uncontrollable poison was forcefully spreading up and down in all directions, all the demigods, along with the Lord Hari Himself, approached Supreme Lord Śiva [Sadāśiva]. Feeling unsheltered and very much afraid, they sought shelter of him. ( Srimad Bhagavatam 8:7:19)
"The demigods Headed by Lord Sri Hari observed Supreme Lord S'iva sitting on the summit of Kailâsa Hill with his wife, Bhavânî, for the auspicious development of the three worlds. He was being worshiped by great saintly persons desiring liberation. The demigods offered him their obeisances and prayers with great respect" ( Srimad Bhagavatam 8:7:20 )
"The prajâpatis said: O God of all gods (Deva deva), Mahâdeva, Supereme soul of all living entities and cause of their happiness and prosperity, we have come to the shelter of your lotus feet. Now please save us from this fiery poison, which is spreading all over the three worlds." ( Srimad Bhagavatam 8:7:21)
"O lord, you alone are the cause of bondage and liberation of the entire worlds( sarva jagat) because you are alone its ruler (tvam ekaḥ sarva-jagataīśvaro ). Those who are advanced in spiritual consciousness surrender unto you, and therefore you are the cause of mitigating their distresses, and you are alone the cause of their liberation. We therefore worship Your Lordship." (Srimad Bhagavatam 8:7:22)
"O lord Shiva, you are self-effulgent and supreme. You create this material world by your personal energy, and you assume the names Brahmā, Viṣṇu and Maheśvara when you act in creation, maintenance and annihilation." ( Srimad Bhagavatam 8:7:23 )
" O Lord Shiva, You are the cause of all causes, the self-effulgent, inconceivable, and you are alone that Secret Para Brahman (tvaḿ brahma paramaḿ guhyaḿ ). You manifest various potencies in this cosmic manifestation. You are the Supreme soul and supreme personality of godhead (tvam ātmā jagad-īśvaraḥ) " ( Srimad Bhagavatam 8:7:24 )
tvaḿ śabda-yonir jagad-ādir ātmā prāṇendriya-dravya-guṇaḥ svabhāvaḥkālaḥ kratuḥ satyam ṛtaḿ ca dharmastvayy akṣaraḿ yat tri-vṛd-āmananti ( SB 8:7:25 )
"O lord Shiva, you are the original source of Vedic literature. You are the original cause of entire creation, the life force, the senses, the five elements, the three modes and the mahat-tattva. You are eternal time, determination and the two religious systems called truth [satya] and truthfulness [ṛta]. You are the shelter of the syllable oḿ, which consists of three letters a-u-m." ( Srimad Bhagavatam 8:7:25 )
"O Shiva, father of all planets, learned scholars know that fire is your mouth, the surface of the globe is your lotus feet, eternal time is your movement, all the directions are your ears, and Varuṇa, master of the waters, is your tongue." ( SB 8:7:26 )
O lord, the sky is your navel, the air is your breathing, the sun is your eyes, and the water is your semen. You are the shelter of all kinds of living entities, high and low. The god of the moon is your mind, and the upper planetary system is your head ( SB 8:7:27)
"O lord shiva, you are the three Vedas personified. The seven seas are your abdomen, and the mountains are your bones. All drugs, creepers and vegetables are the hairs on your body, the Vedic mantras like Gâyatrî are the seven layers of your body, and the Vedic religious system is the core of your heart" ( SB 8:7:28)
"O lord, the Vedas are represented by your five faces, from which the thirty-eight most celebrated Vedic mantras have been generated. Your Lordship, being celebrated as Lord Śiva, is self-illuminated. You are directly situated as the supreme truth, known as Paramātmā." (SB 8:7:29)
O lord, your shadow is seen in irreligion, which brings about varieties of irreligious creations. The three modes of nature - goodness, passion and ignorance - are your three eyes. All the Vedic literatures, which are full of verses, are emanations from you because their compilers wrote the various scriptures after receiving your glance ( SB 8:7:30 )
"O Lord Girîsha, since the You are Brahman which is transcendental to the material modes of goodness, passion and ignorance, the various directors of this material world certainly cannot appreciate it or even know where it is. It is not understandable even to Lord Brahmâ, Lord Vishnu or the King of heaven, Mahendra ( SB 8:7:31)
"When annihilation is performed by the flames and sparks emanating from your eyes, the entire creation is burned to ashes. . What then is to be said of your destroying the Dakṣa-yajña, Tripurāsura and the kālagara ? Such activities cannot be subject matters for prayers offered to you. because, We all do not know how this happens " ( SB 8:7:32)
"Exalted, self-satisfied persons who preach to the entire world think of your lotus feet constantly within their hearts. However, when persons who do not know your austerity see you moving with Umā, they misunderstand you to be lusty, or when they see you wandering in the crematorium they mistakenly think that you are ferocious and envious. Certainly they are shameless. They cannot understand your Supreme Trascedental Reality". ( SB 8:7:33)
"Even personalities like Lord Brahmâ and other demigods cannot understand your position, for you are beyond the Truth (sat) and unTruth(Asat) (sad-asatoḥ parataḥ). Since no one can understand your actual nature (nāñjaḥ svarūpa-gamane). how can one offer you prayers? It is impossible. As far as we are concerned, we are creatures of Lord Brahmâ's creation. Under the circumstances, therefore, we cannot offer you adequate prayers, but as far as our ability allows we have expressed our feelings." (SB 8:7:34)
"O Supreme Ordinator ( maheśvara) , your actual identity is impossible for us to understand.(etat paraḿ prapaśyāmo na ) As far as we can see, your presence brings flourishing happiness to everyone. But your transcedental nature is unknown (avyakta-karmaṇaḥ) ( SB 8:7:35)
There are many such examples like in Padma Puran there is Sri Shiva Gita, in vishnu puran, garuda puran, etc also. Infact every Bhagawan is praised as supreme in every puran in some parts or other.
I hope this clarifies your queries.