I'm in a hurry...will fill this out later, but for the OP's question:
I'm an ordained Presbyterian Church (USA) minister. I serve as an Associate Executive Presbyter, which means I'm in the office overseeing about 90 of our churches. Our denomination currently features the latest edition of a longrunning series of major doctrinal splits (we tend to go through these about every 30 years or so). Some of us would be more "liberal"--i.e. inclusivity, diversity and being welcoming is important to us, while others are what are self-termed "confessing". The debate at the moment is raging over homosexuality--ordination and relationships. In the past, presenting issues have been abortion, communism and other "isms" of the day. These all tend to be pretty much code words, with the core division being what you might expect at a political convention between "liberals" and the "Christian Right." We're fighting parallel battles on the church front. And, while it might be argued that none of us particularly know much about being "evangelizing," all of the denominations are very good at fighting.
But in almost any region you can find both "more light" Presbyterian Churches and "Confessing" Churches. We don't come all in one stripe. Thank God. If you're interested in PC(USA) or in one of the other "mainlines" (Methodist, Episcopal, Lutheran, American Baptist, United Church of Christ) p.m. me with your location, and I could help you be in touch with denominational folks who could steer you towards one of their congregations which might be a match.
Denominationally, you would find the most "liberal" and least doctrinal would be Unitarian Universalist, or Friends (Quakers)....in particular from the Friends General Conference branch of Quakers. I have friends who are both Jewish and Quaker, and do not find a conflict between the two. Both of these focus on Universal principles of humanitarian values, and a core belief in an Inner Light or Guiding Force. There would be much divergence in how this is experienced and articulated, and to what extent " the historical Jesus" would be identified with "Christ".
Among the mainlines, The United Church of Christ (UCC) and Episcopal would generally be more open and welcoming, and often focused more on social justice than on an agenda that would be "fundamentalist/evangelical." This would vary somewhat by congregation and by region of the country.
Presbyterians, Methodists, Lutherans and American Baptists all have congregations which are more inclusive and ecumenical (concerned about interfaith issues), and ones which are more "evangelical." You might be wildly happy in one, and miserable in the one 5 miles down the road.
I personally could not be Roman or Orthodox Catholic because of the barring of women from ordained leadership, but many people find a vibrant spirituality in the structure, while preserving their own private beliefs. Catholicism is the most restrictive regarding who may partake at the Communion Table. I've got some friends who are nuns who are some of the most whole and dynamic people I know.
I've got a few friends who are rabbis, and they tell me the same cultural and theological struggles are going on in their brands, with Reform Judaism, of course, being more open than Conservative or Orthodox.
If there's any other info you might need in trying to find a few congregations to try out in your area, give a holler. The big key is to be clear that you're visiting and trying out various options, rather than signing on the dotted line too soon. If they invite you to teach Sunday School and serve on the property committee the 3rd time you visit, run like hell the other direction.
