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

For CH3- (methyl 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 cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.000342 -0.001517 -0.001517 -0.001203 -0.004283 -0.004735 -0.004871 -0.018090 -0.018468 -0.006159 -0.016720 -0.002403 -0.014558 -0.027621 -0.002691 -0.017281 -0.028136 -0.014558 -0.047225 -0.002729 -0.017758
MP3=FULL         -0.004245   -0.051632       -0.017550 -0.002254 -0.014969           -0.049138 -0.002584 -0.018434
MP4=FULL   -0.001450     -0.004251       -0.019305     -0.002219 -0.015060   -0.002521 -0.018085     -0.049563 -0.002560 -0.018590
B2PLYP=FULL -0.000102 -0.000453 -0.000453 -0.000358 -0.001265 -0.001391 -0.001437 -0.005170 -0.005286 -0.001789 -0.004789 -0.000712 -0.004225   -0.000801 -0.005009     -0.013411 -0.000813 -0.005104
Quadratic configuration interaction QCISD(T)=FULL         -0.004237             -0.002203 -0.015009   -0.002505 -0.018026     -0.049426 -0.002544 -0.018525
QCISD(TQ)=FULL         -0.004240   -0.004826         -0.002202 -0.015008 -0.028970 -0.002504 -0.018030 -0.029730   -0.049405    
Coupled Cluster CCSD=FULL         -0.004199         -0.006083 -0.017525 -0.002180 -0.014887 -0.028787 -0.002470 -0.017867 -0.029328   -0.049103 -0.002503 -0.018355
CCSD(T)=FULL         -0.004238           -0.017626 -0.002203 -0.015009 -0.029053 -0.002505 -0.018027 -0.029615 -0.015009 -0.049414 -0.002543 -0.018525
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 cc-pCVTZ daug-cc-pVDZ daug-cc-pVTZ