ambitious, big, huge, large, large-scale, major, massive
He embarked on an ambitious project to translate all the works of Plato.

small
exciting, important, interesting
new
worthwhile
successful
failed, unsuccessful
collaborative, cooperative, joint
solo
community, public
pilot
a successful six-month pilot project

long-term, ongoing
research
They've set up a research project to investigate the harmful effects of air pollution.

building, construction, renovation, restoration
At present there are five major new building projects being undertaken nationwide.

housing (AmE)
capital, investment
development, educational, environmental
pet
The wedding became her pet project, and she spent hours organizing it.

get off the ground, implement, initiate, set up, start
He needed some financial assistance from the bank to get his project off the ground.

carry out, undertake
coordinate, lead, manage, oversee, run
complete, finish
conceive, design, develop, plan
launch
finance, fund, sponsor, support
abandon

aim to, be aimed at sth
The project aims to reduce homelessness.

management
coordinator, director, leader, manager, team
architect, engineer, etc.
budget, cost, schedule, specifications
work

the aim of the project
The aims of the project are threefold …

sb's current project, sb's latest project, sb's next project

class, school
French, history, etc.
thesis (AmE)

do

work

project on
My class is doing a project on medieval towns.