There could be (and probably is) a book on 88 mm ammo. To narrow it down I will talk only about ammunition for the 88 mm AA guns mark 18, 36 and 37. I will not go into KwK36, KwK 43 or Flak 41 ammo. I am counting on my colleagues here to fact check and amend this post.
Primary sources for my answer are original German manuals:
L.Dv. 4402/5 Die Munition der Flakartillerie Teil 5 Munition der 8,8 cm Flak 18, 36 und 37
H.Dv. 541/157 Merkblatt für die Munition der 8,8 cm Flugabwehrkanone 18 (8,8 cm Flak 18) und der der 8,8 cm Flugabwehrkanone 36 (8,8 cm Flak 36) 20.05.1942.
Online here:
http://michaelhiske.de/Wehrmacht/Heer/HEER/HDv_481/Heft_541/Inhalt.htm
From the designation of the manuals You can see, that one is Luftwaffe (air force) and the other Heer (army) manual. The AA defence was primarily Luftwaffe responsibility so the AA units in the field were Luftwaffe units.
To narrow it a little further I will go only with yellow projectiles. There were at least 8 types of yellow projectiles 4 HE and 4 training.
8,8cm Sprgr. L/4,5 (Kz) mit eingesetzter Sprengladung – HE round with inserted explosive
8,8cm Sprgr. L/4,5 (Kz) mit eingegossen Sprengladung – HE round with cast explosive
8,8cm Sprgr. L/4,5 (Kz) Stg mit eingegossen Sprengladung - HE round with cast explosive
8,8cm Sprgr. L/4,5 (Kz) Pr.zugz mit eingegossen Sprengladung - HE round with cast explosive
The first two projectile bodies were manufactured the by conventional method the difference is only in the method of inserting the explosive. Both have a large screw at the bottom of the projectile.
Stg – stahlguss – cast steel and Pr Zugz – Presstahl Zugezogen – Pressed steel drawn are cheaper methods of manufacturing the body blanks for further manufacturing operations. They do not have the screw at the bottom, the explosive was cast from the top.
All projectile bodies were used with training ammunition:
8,8cm Sprgr. L/4,5 (Kz) (Üb.R.) - training red smoke
8,8cm Sprgr. L/4,5 (Kz) (Üb.W.) – training white smoke
8,8cm Sprgr.Patr. L/4,5 (Kz) (L.S.) – training signal (makes a bright flash explosion)
8,8cm Sprgr. L/4,5 (Kz) (Bl) – inert projectile
Great post by DJ here:
http://www.wk2ammo.com/showthread.php?3579-8-8cm-practice-test-shells-for-flak-18-36-37&
So what You need is a monoogive projectile with or without base screw. Please see attached pics.
Steele cases were marked as can bee seen on Pic 010
Remember that you need mechanical screw for the case.
Now to fuzes.
The most used would be Zt.Z. S/30 with Krupp Thiel mechanism or Zt Z S/30 Fg with Junghans mechanism. For ground role it would be Az 23/28. For blind projectiles there would be inert “Ersatz” fuzes.
There is a lot of what I did not write, but this is the basic info.
Bob