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

For Al (Aluminum atom)

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-pV(T+d)Z cc-pCVDZ cc-pCVTZ
Moller Plesset perturbation MP2=FULL -0.005361 -0.004421 -0.009955 -0.003229 -0.008744 -0.008744 -0.010141 -0.125279 -0.125279 -0.013983 -0.157103 -0.157103 -0.071298 -0.004329 -0.062255 -0.029105 -0.004661 -0.063478 -0.029548 -0.101295 -0.200138 -0.313086
MP3=FULL   -0.004221 -0.009905 -0.003077 -0.008693 -0.008693 -0.010115 -0.124772 -0.124772 -0.013860     -0.071677 -0.004202 -0.062521   -0.004532 -0.063740        
MP4=FULL -0.005378 -0.004332 -0.010103 -0.003138 -0.008812 -0.008812 -0.010290 -0.126029 -0.126029 -0.013938 -0.159091 -0.158480 -0.073192 -0.004272 -0.064174 -0.030172 -0.004615 -0.065415 -0.030614      
B2PLYP=FULL -0.001803 -0.001447 -0.003205 -0.001047 -0.002791 -0.002791 -0.003233 -0.037054 -0.037054 -0.004429     -0.021527 -0.001408 -0.019062   -0.001513 -0.019425        
Quadratic configuration interaction QCISD(T)=FULL         -0.008702   -0.010177             -0.004221 -0.063948 -0.029959 -0.004563 -0.065181 -0.030400      
Coupled Cluster CCSD=FULL -0.005138 -0.004133 -0.009694 -0.002995 -0.008452 -0.008452 -0.009880 -0.124978 -0.124978 -0.013290 -0.156250 -0.156250 -0.071831 -0.004069 -0.062550 -0.029083 -0.004392 -0.063770 -0.029511      
CCSD(T)=FULL -0.005304 -0.004281 -0.009993 -0.003096 -0.008700 -0.008700 0.000000 -0.125886 -0.125886 -0.013728 -0.158101 -0.158101 -0.072945 -0.004220 -0.063894 -0.029936 -0.004561 -0.065126 -0.030376      
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-pV(T+d)Z cc-pCVDZ cc-pCVTZ