"Oh shit Engels we forgot about human greed" – Marx
You're right, human nature towards greed is the only reason any humans are motivated to do work and that's why we need capitalism. It's not like humans do things for other reasons like survival or curiosity or as an output for creativity or genuine passion or for companionship or just plain boredom. Before capitalism people just laid down in caves and died because they had no monetary incentive to survive.
Anything can be a project, in basically any industry. Marketing or advertising campaigns, development of new products... A relative works for a huge corp that renovates buildings after flooding and there are tons of different teams of people that need to be coordinated among and between to complete that kind of job. Think of a hospital that is full of mold after a flood and the kind of rigorous restoration needed to bring it back into a usable state.
Another whole category are government contracts: there are engineering and architecture firms that employ thousands of people with hundreds of contracts, having teams of dozens of people making plans for all kinds of shit for the feds, states, and cities (transportation, infrastructure, land use, conservation... You name it). Then all of those plans have things that need to get implemented, usually by construction crews with their own PMs.