Do Hindu Gods share some similarity with the Gods of other religion? If yes, then are there any stories or traits that we can compare? I have heard that the Greek Gods are a bit similar to Hindu Gods, may be there are others too.
The Hindu gods do not 'map' to the Greek gods for several reasons.
First, Hindu gods are 'devas'. The exact translation is 'shining one'. 'god' is a loose and inexact translation.
Second, the Greek gods were eternal, there was no other God above Zeus. But, they came to power by wrestling power away from another group of gods. Devas are not eternal, they are only for this cycle of creation. Brahman is the eternal One.
Third, devas are humans from another prior cycle. After the end of this cycle, they are reborn again according to their karma. Greek gods were eternal.
Fourth, the philosophy of the Greek gods was polytheistic. Hindus are (depending on the sect), advaita (non-dualist), vishishtadvaita (qualified non-dualists), or dvaita (dualist). None are polytheistic.
There is similarity between the triune god of the Rig veda (Brahma, Vishnu, and Shiva) and the trinity (God the Father, God the Son, and God the Holy Spirit) of the Christian tradition.
Like Brahma, God the Father is the Creator. After the creation, he is not heard of much similar to Brahma. God the Son is, like Vishnu, the sustainer of the creation. He is the one that incarnates (as Vishnu is the one that has incarnations) as a human to lead humans to the Way. The similarity breaks down with Shiva (the destroyer of the cycle) and God the Holy Spirit. The Holy Spirit is more described as the breath of God.
Although similar, the triune god of the Rig Veda is not the eternal Brahman. The Christian Trinity is described as three persons in one God and is the eternal God.
There are similar questions like
All these concluded that Jesus or Mohammad are nothing like the concept of God in Hinduism. The God(ultimate reality) in Abrahamic faiths is a personal God who is a jealous God. That is, HE is jealous of other Gods and thus proclaims he alone is the true God while rest are false Gods. In Hinduism there is no such claims by any God. For most Hindu schools, ultimate reality is not such a male personal God. The holy-trinity of Christianity is a false equivalence with the trimurti of Hinduism. The acceptance of this theory is derived from an inculturation attempt by Missionaries according to whom Hinduism itself is derived from Christianity through Apostle Thomas. This article talks about such inculturation attempts.
Hinduism bears a close relationship with Zoroastrianism. Zoroastrianism's supreme God Ahura Mazda bears resemblance to Purusha of the Vedas. There are several common deities which are described this paper Vedic Elements in the Ancient Iranian Religion of Zarathushtra by Subhash Kak.
Now coming to the Greeks. @Swami Vishwananda's answer provides some contrasts. The book India in Greece:Truth in Mythology by Edward Pococke mentions about Hindu-Buddhist influence on Greek thought and theology which could be a reason for similarity in the gods.
Hinduism shares a lot commonalities with Buddhism & Jainism as they co-evolved in the same geography. For example Yama the deva of death is also deva of death in Buddhism.