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

For F+ (Fluorine atom 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) 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
Moller Plesset perturbation MP2=FULL 0.000000 -0.001692 -0.001692 -0.000855 -0.001610 -0.001610 -0.001924 -0.018092 -0.018092 -0.004049 -0.022405 -0.022405 -0.016467 -0.001754 -0.011583 -0.030160 -0.001887 -0.011983 -0.030234
MP3=FULL   -0.001623 -0.001623 -0.000810 -0.001497 -0.001497 -0.001804 -0.018329 -0.018329 -0.003947     -0.016854 -0.001633 -0.011458   -0.001765 -0.011876  
MP4=FULL 0.000000 -0.001623 -0.001623 -0.000818 -0.001504 -0.001504 -0.001810 -0.018306 -0.018306 -0.003949 -0.022797 -0.022797 -0.016864 -0.001627 -0.011450 -0.030773 -0.001760 -0.011871 -0.030847
B2PLYP=FULL 0.000000 -0.000488 -0.000488 -0.000247 -0.000464 -0.000464 -0.000553 -0.005065 -0.005065 -0.001161     -0.004614 -0.000506 -0.003308   -0.000544 -0.003420  
Quadratic configuration interaction QCISD(T)=FULL         -0.001494   -0.001800             -0.001620 -0.011441 -0.030751 -0.001754 -0.011858 -0.030825
QCISD(TQ)=FULL         -0.001491   -0.001797             -0.001619 -0.011439 -0.030752 -0.001752 -0.011857 -0.030826
Coupled Cluster CCSD=FULL   -0.001609 -0.001609 -0.000803 -0.001477 -0.001477 -0.001782 -0.018243 -0.018243 -0.003910 -0.022682 -0.022682 -0.016805 -0.001605 -0.011367 -0.030602 -0.001735 -0.011782 -0.030675
CCSD(T)=FULL   -0.001617 -0.001617 -0.000810 -0.001493 -0.001493 -0.001799 -0.018293 -0.018293 -0.003938 -0.022784 -0.022784 -0.016854 -0.001620 -0.011441 -0.030750 -0.001753 -0.011858 -0.030824
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