Namaste,
The Vedas are classified as sruti(revealed scripture) in Hinduism. They are absolutely central and the vast majority of Hindu sects accept them as the highest authority. In fact rejecting the Vedas is enough to be excommunicated from Hinduism(Sikhism, Jainism, Buddhism are such examples of religions which are not considered Hindu) However, though they are of central importance, very few Hindus actually read them. It is only Hindu priests that read them and even then, it is mostly for ritualistic reasons such as chanting vedic hymns for special occasions like marriage and temple worship. The popularity of the Vedas reduced in Hinduism over time, and they were replaced by the Bhagvad Gita and the epics: Ramayana, Mahabharata etc. Most Hindus are very familar with the epic literature, the characters Rama, Laskhman, Sita, Hanuman, Ravana, Krishna, Arjuna and other Pandavas, Karna, Duryodhana, and these characters still inform Indian mythos and ethos today and how to live a good life. The character of Rama is considered marayada purushotam, meaning the ideal man and the ideal husband. Lakshman is considered the ideal brother. Sita is considered the ideal woman and ideal wife. Hanuman is considered the ideal devotee. Arjuna is considered the ideal student. Krishna is considered the ideal diplomat. Karna is considered the ideal charitable person. The episodes in the Mahabharata are still looked at today in Indian society for inspiration and insights in how to live a good life and how to avoid the pitfalls of vice which have been epitomised by the villains of the epics: Ravana for his haugtiness and pride, Duryodhana for his jealousy and greed, Shukani for his connivingness and hatred and even Karna(a grey character) for his insecurity, kansa for his cruelty and violence.
It is safe to say that the Mahabharata and Ramayana are the most popular scriptures of Hinduism today, especially the Mahabharata. So much so, that the Mahabharata is also called the fifth veda. The Gita which is a part of the Mahabharata is the equivalent of the Hindu bible. Although there is no single scripture of Hinduism, the Gita is widely regarded as THE hindu bible. In the court of law it is used for Hindus in the witness box for taking an oath of truth. Almost all Indians have heard of the Gita, but ironically enough, fewer actually read it.
Learned Hindus, like Hindu pundits, gurus and swamis do not place as much importance on the epic literature. The importance for them is on the shastras(scientific-philosophical texts) such as the sutra literature like Brahma sutras, Yoga sutras, Samkhya sutras, Nyaya sutras, Vaiseshka sutras and Mimasa sutras, in addition to the Gita and the Upanishads(again the Vedas are not as important) The works and commentaries on Hindu literature of major Hindu scholars such as those of Vyasa, Adisankarcharya, Ramunjacharya, Madhvacharya are also studied.
The learned Hindus, of which I consider myself one, will be able to give you a more accurate overview of Hinduism and its core tenets. The mass Hindus, however, will often tell you very confusing and contradictory things about Hinduism, because they have not really read any of the shastras, Upanishads or Gita, they are just familiar with mythology.