| ACT III ALGEBRAIC | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Generalised programming | ⊕ United States | Algebraic compiler for the LGP-300 |
| Active Language I | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Arithmetic | ⊕ United States | Interactive mathematics system |
| ALGOL 60 Revised | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True ALGOL60s | ⊕ International | Revised report of IAL committee |
| ALGOL-GENIUS | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True ALGOL60s | ⊕ Sweden | ALGOL for SAAB |
| ALPAKA | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Algebraic | ⊕ United States | |
| ALTRAN | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Coeval | ⊕ United States | ALWAC Algrebraic Translator |
| Atlas Fortran | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Variants | ⊕ United Kingdom | |
| AUTOMATH | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Variants | ⊕ United States | FORTRAN for Honeywell computers |
| CORC | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Other Conversational | ⊕ United States | CORnell Compiler |
| DECAL-BBN | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Other Algol 60s | ⊕ United States | DEC simplified Algol |
| DIALGOL | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True Algol58s | ⊕ United States | |
| DIP | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Other US historic | ⊕ United States | |
| ECMA ALGOL | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True ALGOL60s | ⊕ International | |
| EERIE | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Symbolic assemblers | ⊕ United States | CYCLONE's symbolic interpreter |
| FORGO | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Variants | ⊕ United States | Learner FORTRAN |
| GIER Algol III | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True ALGOL60s | ⊕ Denmark | 3rd version of Naur's Gier algol |
| Kidsgrove Algol | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True ALGOL60s | ⊕ United Kingdom | |
| MAGEN | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Algebraic | ⊕ United States | Matrix manipulation language |
| Magic Paper | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Formulaic | ⊕ United States | Interactive maths environment |
| MOSAIC autocode | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Early Autocodes | ⊕ United States | Autocode for the MOSAIC system |
| Orion FORTRAN | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Variants | ⊕ United Kingdom | Rutherford Labs FORTRAN |
| PAT | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Pure APLs | ⊕ United States | Personalized Array Translator |
| S3 Fortran | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Variants | ⊕ United Kingdom | Stretch Fortran |
| SAE | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Symbolic assemblers | ⊕ United States | Symbolic Assembler for CYCLONE |
| UK FORTRAN | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ Fortran I-III Variants | ⊕ United Kingdom | |
| VALGOL | ⊕ 1963 | ↓ ↑ ⊕ Numerical Scientific | ⊕ True ALGOL60s | ⊕ United States | ALGOL subset |