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Energy differences between frozen core and all electrons correlated.
MP2, MP3, MP4, B2PLYP, CCSD, and CCSD(T)

For LiO (lithium oxide)

Energies in Hartree
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.000291 -0.002125 -0.011113 -0.012680 -0.003205 -0.003503 -0.006114 -0.022087 -0.031833 -0.019150 -0.029785 -0.002264 -0.024571 -0.046196 -0.006627 -0.026887 -0.047891 -0.089826
MP3=FULL         -0.003016   -0.016259       -0.031901 -0.002099 -0.026347         -0.095045
MP4=FULL   -0.001924     -0.014959       -0.034452     -0.002101 -0.026715   -0.006973 -0.029230   -0.095749
B2PLYP=FULL -0.000100 -0.000601 -0.000601 -0.000372 -0.000969 -0.000969 -0.001537 -0.009221 -0.009221 -0.002463 -0.008645 -0.000671 -0.007290   -0.002032 -0.007999   -0.025750
Quadratic configuration interaction QCISD(T)=FULL         -0.015157             -0.002092 -0.026772   -0.006985 -0.029295   -0.095783
QCISD(TQ)=FULL         -0.003028   -0.005020         -0.002089 -0.026784 -0.049720 -0.007017 -0.029315 -0.051624  
Coupled Cluster CCSD=FULL         -0.015511         -0.008294 -0.032157 -0.002064 -0.026580 -0.049331 -0.007029 -0.029109 -0.051242 -0.095311
CCSD(T)=FULL         -0.015220           -0.032262 -0.002091 -0.026774 -0.049699 -0.006999 -0.029299 -0.051598 -0.095784
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVTZ