General purpose switching diode, PN: 1N914/1N4148 (THT), 1N4148W (SOT-123)
Signal schottky diode: BAT85 (THT), BAT54H (SOT-123), BAT54S (SOT-23) (or other variants, -C and -A are common cathode/anode, S is series, etc.)
General purpose rectifier: UF4007 (THT), ES1J (SMA), don't bother with slow (1N400x), who cares
Schottky rectifier: B340 (SMA), etc.
Also UF540x for higher current, or anything MUR (ultrafast rectifier), MBR ([schottky] barrier rectifier), B or SB, PMEG, etc.
Zener: 1N5231B (5.1V 500mW), 5242 (12V), etc. 47xx is 1W series, etc.
TVS: P6KExx(C)A, 1.5KExx(C)A, SMAJxx(C)A, etc.
Probably if you need something more special than these, just buy them specific for the project.
Tim