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

For Li- (Lithium atom 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 daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000478 -0.000370 -0.000370 -0.000379 -0.000561 -0.000561 -0.000590 -0.013010 -0.013010 -0.001208 -0.012836 -0.000252 -0.011315 -0.014816 -0.000247 -0.011343 -0.014842 -0.000252 -0.011366
MP3=FULL         -0.000526   -0.014898       -0.014485 -0.000235 -0.012998         -0.000237 -0.013063
MP4=FULL   -0.000332     -0.000511       -0.015154     -0.000224 -0.013297   -0.000231 -0.013361   -0.000234 -0.013384
B2PLYP=FULL -0.000166 -0.000129 -0.000129 -0.000127 -0.000189 -0.000189 -0.000199 -0.003911 -0.003911 -0.000401 -0.003871 -0.000086 -0.003450   -0.000086 -0.003461   -0.000087 -0.003468
Quadratic configuration interaction QCISD(T)=FULL         -0.000508             -0.000216 -0.013343   -0.000229 -0.013422   -0.000234 -0.013449
Coupled Cluster CCSD=FULL         -0.000454         -0.001114 -0.014769 -0.000188 -0.013153 -0.016806 -0.000202 -0.013240 -0.016891 -0.000207 -0.013264
CCSD(T)=FULL         -0.000508           -0.014796 -0.000216 -0.013344 -0.017106 -0.000230 -0.013425 -0.017183 -0.000235 -0.013452
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 daug-cc-pVDZ daug-cc-pVTZ