Recently it was demonstrated that free fermionic heterotic strings can prod
uce models with solely the minimal supersymmetric standard model states in
the low energy spectrum. This unprecedented result provides further strong
evidence for the possibility that the true string vacuum shares some of the
properties of the free fermionic models. Past free fermionic models have f
ocused on several possible unbroken observable SO(10) subgroups at the stri
ng scale, which include the flipped SU(5) (FSU5), the Pati-Salam (PS) strin
g models, and the string standard-like models (SLM). We extend this study t
o include the case in which the SO(10) symmetry is broken to the left-right
symmetric (LRS) gauge group, SO(10)-->SU(3)(c) x U(1)(B-L)SU(2)(L) x SU(2)
(R). We present several models of this type and discuss their phenomenologi
cal features. The most striking new outcome of the LRS string models, in co
ntrast with the case of the FSU5, the PS, and the SLM string models, is tha
t they can produce effective field theories that are free of Abelian anomal
ies. We discuss the distinction between the two types of free fermionic mod
els which result in the presence, or absence, of an anomalous Li(1). As a c
ounterexample we also present a LRS model that does contain an anomalous U(
1). Additionally, we discuss how in string models the standard model spectr
um may arise from the three 16 representations of SO(10), while the weak hy
percharge does not have the canonical SO(10) embedding.