Thank you, I’ve found that already and reading through all the guidelines 
But as far as I can see, there is for example Bhikkhu Bodhi “In the Buddha’s Words”, which is a great book, but it is very lengthy. It is a BIG BOOK. I’ve read that but I was studying philosophy and it was “my subject” and I think it could too long for regular person who just need to get a very basic overwiev.
EDIT: Allright, I’ve found this list in the link you provided, it seems like exactly the thing I was looking for, thank you 
https://www.accesstoinsight.org/befriending.html
Which suttas should I read?
The short answer is: Whichever ones you like.
It can be helpful to think of the Dhamma as a multi-faceted jewel, with each sutta offering a glimpse of one or two of those facets. For example, there are teachings of the four Noble Truths and the Eightfold Path; of dana and sila; of mindfulness of breathing and mindfulness of death; of living skillfully as a layperson or as an ordained monk. No single sutta says it all; each one depends upon all the others to paint a complete picture of the Buddha’s teachings. The more widely you can read in the suttas, the more complete your picture of this jewel becomes.
As a starting point, every student of Buddhism should study, reflect upon, and put into practice the Five Precepts and the Five Subjects for Daily Contemplation. Furthermore, we should take to heart the Buddha’s advice to his young son, Rahula, which concerns our basic responsibilities whenever we perform an intentional act of any kind. From there, you can follow along with the Buddha’s own step-by-step or “graduated” system of teachings that encompasses the topics of generosity, virtue, heaven, drawbacks of sensuality, renunciation, and the four Noble Truths.
If you’re interested in a solid grounding on the basics of the Buddha’s teachings, three suttas are widely regarded as essential reading: Setting the Wheel of Dhamma in Motion (SN 56.11), The Discourse on the Not-self Characteristic (SN 22.59), and The Fire Sermon (SN 35.28). Together, these suttas — the “Big Three” of the Sutta Pitaka — define the essential themes of the Buddha’s teachings that reappear in countless variations throughout the Canon. In these suttas we are introduced to such fundamental notions as: the Four Noble Truths; the nature of dukkha; the Eightfold Path; the “middle way”; the “wheel” of the Dhamma; the principle of anatta (not-self) and the analysis of one’s “self” into the five aggregates; the principle of shedding one’s enchantment with sensual gratification; and the many planes of being that characterize the vast range of Buddhist cosmology. These basic principles provide a sturdy framework upon which all the other teachings in the Canon can be placed.
Furthermore, these three suttas demonstrate beautifully the Buddha’s remarkable skill as teacher: he organizes his material in clear, logical, and memorable ways by using lists (the Four Noble Truths, the Eightfold Path, the five aggregates, etc.); he engages his listeners in an active dialogue, to help them reveal for themselves the errors in their understanding; he conveys his points by using similes and imagery that his listeners readily understand; and, most significantly, time and again he connects with his listeners so effectively that they are able to realize for themselves the transcendent results that he promises. Seeing the Buddha for the extraordinarily capable teacher that he is encourages us to proceed even deeper into the Canon, confident that his teachings won’t lead us astray.
A few other fruitful points of departure:
- The Khuddaka Nikaya offers a rich mine of important suttas in verse form. Consider, in particular, the Dhammapada, the Sutta Nipata, the Therigatha, and the Theragatha.
- For the Buddha’s basic instructions on breath meditation, see the Anapanasati Sutta; for his instructions on the practice of mindfulness, see the Maha-satipatthana Sutta.
- To learn how to cultivate a heart of loving kindness, see the Karaniya Metta Sutta.
- In the Devadaha Sutta Ven. Sariputta explains how to introduce the Buddha’s teachings to inquisitive, intelligent people — people like you.
- How does one decide which spiritual paths are worth following and which are not? The Kalama Sutta sheds light on this ancient dilemma.
- In the Sigalovada Sutta the Buddha offers a concise “instruction manual” that shows how laypeople can live happy and fulfilling lives.
When you find a sutta that captures your interest, look for others like it.[1] From there, wander at will, picking up whatever gems catch your eye along the way.
What I mean is a much shorter list without commentary, just few suttas to start the dive into the world of Buddha’s words 
I think it would be great to have such a list linking to Ajahn Sujato’s translations 