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

For Na2- (sodium 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) 6-311+G(3df,2p) 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 -0.087053 -0.002261 -0.003626 -0.003196 -0.005083 -0.005083 -0.005243 -0.263696 -0.263696 -0.019511 -0.306906 -0.150747 -0.002893 -0.023168 -0.030936 -0.003396 -0.023920   -0.023168 -0.003733 -0.024630
MP3=FULL         -0.005125   -0.005269       -0.305286 -0.150080 -0.002838 -0.024366           -0.003668 -0.025832
MP4=FULL   -0.002240     -0.005454       -0.267098   -0.313636   -0.003019 -0.025835   -0.003567 -0.026724     -0.003920 -0.027433
B2PLYP=FULL -0.029232 -0.000908 -0.001435 -0.001215 -0.001936 -0.001936 -0.002000 -0.081259 -0.081259 -0.006828 -0.094784 -0.047387 -0.001135 -0.008033   -0.001335 -0.008303     -0.001463 -0.008546
Quadratic configuration interaction QCISD(T)=FULL         -0.005483           -0.313425   -0.003039 -0.025836   -0.003578 -0.026718     -0.003928 -0.027471
QCISD(TQ)=FULL         -0.241994           -4.335297         -0.004283 -0.851128        
Coupled Cluster CCSD=FULL         -0.005133         -0.020309 -0.308788 -0.152976 -0.002849 -0.024831 -0.032541 -0.003350 -0.025644     -0.003678 -0.026376
CCSD(T)=FULL         -0.005459           -0.313195 -0.156239 -0.003026 -0.025770 -0.034007 -0.003561 -0.026643 -0.103543   -0.003910 -0.027396
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 cc-pV(T+d)Z daug-cc-pVDZ daug-cc-pVTZ