The Mexican Greens are pro-death penalty and anti-gay. Of course the Mexican Greens are also a corrupt family-owned PRI allied criminal organisation so that's hardly saying anything.
Some conservative greens pop up occasionally - the Mountain Party of Portugal for example very very briefly had a burst of popularity last year. It's not hard to see an argument for conservationism from a small c conservative perspective.
Social liberals that don't support the Green agenda would be quite hard to find IMO. Pretty much everybody who attempts to grab the secular urban vote nowadays at least pays lip service to climate change, renewable energy and animal rights.
Well, depends what you define as the "Green agenda". Certain aspects of that agenda as it's practiced with a capital G in Europe– opposition to nuke power and decentralization chief among them– are, if I'm not mistaken, opposed by some parties which are social-liberal in orientation.