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

For S- (Sulfur 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 0.000000 -0.005035 -0.012577 -0.002932 -0.010115 -0.010115 -0.010800 -0.120115 -0.120115 -0.018888 -0.027856 -0.006136 -0.033109 -0.058186 -0.006851 -0.034208 -0.058524 -0.007047 -0.034492
MP3=FULL         -0.009486   -0.029435       -0.027122 -0.005498 -0.031861         -0.006332 -0.033213
MP4=FULL   -0.004689     -0.009547       -0.119552     -0.005564 -0.032546   -0.006325 -0.033684   -0.006516 -0.033974
B2PLYP=FULL 0.000000 -0.001548 -0.003827 -0.000900 -0.003069 -0.003069 -0.003276 -0.034613 -0.034613 -0.005701 -0.008245 -0.001884 -0.009949   -0.002100 -0.010268   -0.002159 -0.010350
Quadratic configuration interaction QCISD(T)=FULL         -0.009533             -0.005573 -0.032503   -0.006303 -0.033609   -0.006493 -0.033897
QCISD(TQ)=FULL         -0.009517   -0.010191         -0.005561 -0.032388 -0.057798 -0.006256 -0.033471 -0.058116    
Coupled Cluster CCSD=FULL         -0.009344         -0.017096 -0.027031 -0.005404 -0.031753 -0.056831 -0.006074 -0.032803 -0.057129 -0.006259 -0.033086
CCSD(T)=FULL         -0.009533           -0.027475 -0.005573 -0.032485 -0.057940 -0.006292 -0.033582 -0.058265 -0.006481 -0.033870
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