I am definitely a "liberal" Catholic, simply because my reading and understanding of what Jesus said and did allows me to be nothing else. I approach my faith as many have done, including some in the hierarchy. Pope John XXIII and Pope Francis come readily to mind, as do people like Archbishop Oscar Romero, Mother Teresa and many, many more bishops, priests, nuns and laity.
I have seen the Church make many positive changes in my lifetime and expect to see more. Some of these have been "earth-shaking", while others not so newsworthy or sudden, but just as important. Some of the latter include the evolution of Church teaching on life issues to encompass more than just abortion, a constantly growing ecumenical movement, a revamping of how the Church thinks of and relates to females (still in progress), and a deeper connection with and focus on "the least among us" rather than with the political and economic powers (some call this "liberation theology", which has not gone away and appears to be having a resurgence). There are more examples, such as what we see happening and being discussed about how the Church relates to divorced and remarried Catholics.
Some things won't change in my lifetime, such as having women priests, but it will happen. I may live long enough to see women ordained as deacons and married men ordained as priests. The Church has changed, will change, must change. As I said in a related thread, my late mother would hardly recognize the Church she grew up with if she could experience the Church of today.