Hi, this is a topic often discussed, and the decision for one or the other method should be documented and explained in goal and scope of a study. Commonly used are CML (e.g. often in construction, Germany), ReCiPe (ecoinvent context) and ILCD (European projects)). Also more detailed approaches such as AWARE are gaining attention, and could be interesting if you are into water footprint.
For openLCA we do not yet have Impact2002+ but it is in preparation.