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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)

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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.089161 -0.002320 -0.003743 -0.003324 -0.005416 -0.005416 -0.005597 -0.264316 -0.264316 -0.021495 -0.308386 -0.308386 -0.150950 -0.002985 -0.024722 -0.034746 -0.003679 -0.025815 -0.072250 -0.379722 -0.567510 -0.567918 -0.004059 -0.026239
MP3=FULL         -0.005360   -0.005533                             -0.573713    
MP4=FULL -0.139405 -0.002265 -0.003829 -0.003323 -0.005633 -0.005633 -0.005820 -0.267500 -0.267500 -0.022925 -0.314542 -0.314542 -0.157549 -0.003016 -0.027077 -0.037513 -0.003731 -0.028274 -0.114843 -0.388471 -0.581697 -0.582149    
B2PLYP=FULL -0.029573 -0.000896 -0.002443 -0.001228 -0.001964 -0.001964 -0.002029 -0.081325 -0.081325 -0.007329 -0.094970   -0.047387 -0.001097 -0.008414   -0.001365 -0.008787       -0.170272 -0.001499 -0.008925
Quadratic configuration interaction QCISD(T)=FULL         -0.005584   -0.005773       -0.314078     -0.002982 -0.027039 -0.037401 -0.003688 -0.028234 -0.114493     -0.581594 -0.004072 -0.028696
Coupled Cluster CCSD=FULL -0.087136 -0.002132 -0.003547 -0.003157 -0.005253 -0.005253 -0.005432 -0.264844 -0.264844 -0.021763 -0.309347 -0.309347 -0.153039 -0.002819 -0.026044 -0.035973 -0.003483 -0.027170 -0.073870 -0.386500   -0.573515 -0.003847 -0.027609
CCSD(T)=FULL -0.092286 -0.002238 -0.003772 -0.003305 -0.005579 -0.005579 -0.005767 -0.267086 -0.267086 -0.022801 -0.313909 -0.313909 -0.156315 -0.002979 -0.027004 -0.037347 -0.003684 -0.028196 -0.114293 -0.388314 -0.581015 -0.581465 -0.004068 -0.028657
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) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ cc-pCVDZ cc-pCVTZ aug-cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ