What the crypto projects (any type you can think of crypto projects), are doing in order to achieve mass adoption?
No more crypto projects needed which itself enough to bring the mass adoption. 
People are afraid of scam projects in crypto space which constantly damaging the crypto market so new people are not interested to make deep research which lacks the adoption rate. Once the scam project completely gets vanished which will ring more trust to people and adoption as well.
According to your words the answer to op's question would be - name any big and relatively stable crypto company, the bigger the better for adoption.
I'd say its not particular project which pushes adoption to masses.
But its people who tries to connect crypto to govs, big companies (like coinbase and visa), who adds crypto payment options to local franchise service.
All those things brings a lot of attention to crypto.