I tend to use the noun 'being' as a count noun: You and I are both beings; maybe the number seven is also a being (although of a different kind from you or me). I'll therefore use the words 'existence' or 'reality' for what you seem to refer to by 'being' in your question. When it asks questions about existence or reality, modern-day philosophy -- including analytic philosophy -- ranges as broadly as you like. Philosophy doesn't confine itself to the world described by natural science. Often philosophy asks about the existence or reality of non-natural beings such as abstract objects (maybe numbers, properties, propositions) or concrete, non-natural beings (maybe immaterial minds or souls, maybe God). It's true that analytic philosophers tend to respect natural science, but they shouldn't (and largely don't) think that all legitimate questions are questions for natural science. Furthermore, contemporary philosophy -- perhaps especially analytic philosophy -- asks about ways that reality could have been but isn't: for example, in analyzing counterfactual conditionals, identity, cause and effect, the concept of knowledge, the concept of merit or desert, and countless other things too. I think contemporary analytic philosophy is much less narrowly scientistic (i.e., uncritically science-worshiping) than you may have been led to believe. For just two of many examples of analytic philosophy venturing beyond the realm of natural science, see these entries in the excellent Stanford Encyclopedia of Philosophy (an online resource I keep recommending!):
Read another response by Stephen Maitzen
Is modern philosophy too abstract? I mean when it asks questions about being does it ask questions that about any kind of being when perhaps it could be asking question about the particular kind of being that we live in? I guess you could say the answer is no because philosophers deal with questions about science and science is about the world we live in. But is the kind of being of science the only "concrete" form of being that philosophers can ask about? I personally think that their is more to being than either physics or hyper-abstractions that only look at being in terms of temporarily, causality and quantity, etc. Is a disagreement about what we think is "being" perhaps one of the central splits between analytic and "continental" philosophy?