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

For O2- (oxygen diatomic anion)

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-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000101 -0.003536 -0.003536 -0.001971 -0.004562 -0.004562 -0.005123 -0.036996 -0.036996 -0.013278 -0.033924 -0.003956 -0.023967 -0.058830 -0.004301 -0.026922 -0.059509 -0.023967 -0.004462 -0.027974
MP3=FULL         -0.004163   -0.045435       -0.034755 -0.003601 -0.023914           -0.004097 -0.028214
MP4=FULL   -0.003293     -0.004173       -0.037586     -0.003576 -0.023847   -0.003924 -0.026884     -0.004082 -0.027997
B2PLYP=FULL -0.000029 -0.001032 -0.001032 -0.000573 -0.001328 -0.001328 -0.001487 -0.010415 -0.010415 -0.003813 -0.009564 -0.001149 -0.006903   -0.001249 -0.007724     -0.001296 -0.008021
Quadratic configuration interaction QCISD(T)=FULL         -0.004155             -0.003565 -0.023844   -0.003897 -0.026897     -0.004054 -0.028009
QCISD(TQ)=FULL         -0.004149   -0.004685         -0.003562 -0.023832 -0.060417 -0.003888 -0.026885 -0.061074      
Coupled Cluster CCSD=FULL         -0.004107         -0.013123 -0.034622 -0.003520 -0.023642 -0.059877 -0.003839 -0.026723 -0.060518   -0.003995 -0.027828
CCSD(T)=FULL         -0.004157           -0.034792 -0.003567 -0.023851 -0.060437 -0.003898 -0.026911 -0.061086 -0.023851 -0.004056 -0.028022
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-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ