Diastereotopic protons that are also anisochronous exhibit different chemical shifts. As a general rule, the proximity of a chiral centre will influence the likelihood of diastereotopic proton signals being anisochronous.
For the structure below, the CH2 labeled A is most likely to be anisochronous due to the adjacent chiral carbon.
IUPAC: methyl 7-hydroxy-3,5-dioxo-7-phenylheptanoate
InChi Key: FOGURBALCWIVHU-UHFFFAOYSA-N
A thanks goes to Carlos for submitting a comment.