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

For CH3+ (methyl cation)

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
Moller Plesset perturbation MP2=FULL -0.000347 -0.001502 -0.001502 -0.001176 -0.004059 -0.004569 -0.004619 -0.017740 -0.018133 -0.005626 -0.016409 -0.002279 -0.014557 -0.027163 -0.002506 -0.016749 -0.027584 -0.014557 -0.046807
MP3=FULL         -0.004052   -0.005168       -0.017292 -0.002190 -0.015096           -0.048820
MP4=FULL   -0.001442     -0.004044       -0.019015     -0.002165 -0.015156   -0.002395 -0.017551     -0.049065
B2PLYP=FULL -0.000104 -0.000448 -0.000449 -0.000350 -0.001201 -0.001346 -0.001361 -0.005069 -0.005190 -0.001644 -0.004696 -0.000677 -0.004219   -0.000745 -0.004843     -0.013279
Quadratic configuration interaction QCISD(T)=FULL         -0.004033             -0.002152 -0.015132   -0.002381 -0.017527     -0.049030
QCISD(TQ)=FULL         -0.004033   -0.004592         -0.002150 -0.015131 -0.028638 -0.002379 -0.017526 -0.029092    
Coupled Cluster CCSD=FULL         -0.003986         -0.005585 -0.017245 -0.002113 -0.014995 -0.028390 -0.002339 -0.017377 -0.028839   -0.048742
CCSD(T)=FULL         -0.004033           -0.017346 -0.002151 -0.015131 -0.028638 -0.002381 -0.017525 -0.029092   -0.049023
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