There are a variety of groups throughout New Eden that run public events of all types for capsuleers. From NPSI (not purple shoot it) pvp fleets to public incursion fleets, Eve Online streamers taking out fleets and doing giveaways and official Eve events by CCP.

Eve has a lot of people working tirelessly to try to connect people to in game content that they will enjoy but there is no one stop resource to find all of the different events in one location.