Are there any cryptocurrencies where "ordinary" people can do support of the network (aka mining) ? In bitcoin and most popular coins it is needed to do mining and only someone who has good equipment can do this and get rewards - more coins/tokens. If you don't have costly equipment , you can not play this game. Are there alternatives? Some other type of prove ? Like a lottery between users or so? Some fully decentralised cryptocurrency but without requirement to do costly calculations?

I did small research and i can not find some "bitcoin with easy mining" where i could get some coins just for staying online and supporting the coin transactions.
Is the community interested in this too?