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

For O2-- (dioxygen dianion)

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) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000079 -0.003544 -0.003544 -0.002006 -0.004551 -0.004551 -0.005095 -0.037020 -0.037020 -0.013090 -0.044339 -0.033897 -0.004027 -0.023378 -0.058621 -0.004330 -0.025924 -0.059150 -0.104102 -0.004715 -0.027574
MP3=FULL                                     -0.106805    
MP4=FULL                                     -0.107148    
B2PLYP=FULL -0.000023 -0.001033 -0.001033 -0.000582 -0.001319 -0.001319 -0.001472 -0.010415 -0.010415 -0.003751 -0.012522 -0.009549 -0.001166 -0.006721   -0.001250 -0.007427   -0.029245 -0.001305 0.033770
Quadratic configuration interaction QCISD(T)=FULL         -0.004089           -0.045302   -0.003594 -0.023128   -0.003867 -0.025701   -0.107260    
Coupled Cluster CCSD=FULL         -0.004035         -0.012854 -0.044848 -0.034536 -0.003544 -0.022887 -0.059573 -0.003799 -0.025446 -0.059903 -0.106177    
CCSD(T)=FULL         -0.004091           -0.045303 -0.034706 -0.003595 -0.023128 -0.060168 -0.003868 -0.025692 -0.060597 -0.107200   -0.027187
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ