Diode alternatives for LTspice
1N914 should be included in the default installation. I don't know how the list is displayed in the Mac version, but in Windows it's right at the top, the first entry:
.model 1N914 D(Is=2.52n Rs=.568 N=1.752 Cjo=4p M=.4 tt=20n Iave=200m Vpk=75 mfg=OnSemi type=silicon)

The other needed some digging on the web. I found a subcircuit on this page, not a .model, but it should work just fine:
*SRC=1N4729A;1N4729A;Diodes;Zener &lt;=10V; 3.60V  1.00W   Diodes Inc. Zener
.SUBCKT 1N4729A_3.6V_1W  1 2
*        Terminals    A   K
D1 1 2 DF
DZ 3 1 DR
VZ 2 3 1.30
.MODEL DF D ( IS=114p RS=0.620 N=1.10 CJO=319p VJ=0.750 M=0.330 TT=50.1n )
.MODEL DR D ( IS=22.9f RS=0.923 N=3.00 )
.ENDS

In case you, or someone else looking at this answer doesn't know, to make this work, after placing the diode in the schematic, rename it to 1N4729A_3.6V_1W, then Ctrl+RClick on the diode, and on the Prefix line replace D with X.
To make the subcircuit (the block of text above) available, press S in the schematic to bring up the SPICE directive dialog, paste the block of text above, then LClick to place it in the schematic. Or you could save it as a file, then add it with either a .lib or .inc directive.
The 1N914 doesn't need changing the prefix, only the name. The same copy-paste in the schematic can be used.
As usual, don't just trust blindly the models -- verify them to see they meet the requirements.