I was wondering how starting gear was determined so I did some tests.

Sex, stats, alignment and name seem to have no effect. Race and class do.
After some testing I found the following list. It was too much trouble to find out which weapons are magical so most are marked with an '?'

Dwarf Cleric
leather armor
chain coif
shield
warhammer ?
potion of extra healing
scroll: negative plane protection

Dwarf Fighter
plate helm
chain mail
bag(8)
potion of extra healing
battle axe ?

Dwarf Thief
leather helm
leather armor
warhammer ?
dagger ?
ring of protection +1
lock picks

Dwarf Fighter/Cleric
plate helm
chain mail
warhammer ?
2x potion of extra healing

Dwarf Fighter/Thief
leather helm
leather armor
shield +1
battle axe ?
dagger ?
lock picks

Elf Cleric
elven chain coif
cloak
quarterstaff ?
shield
scroll: negative plane protection
scroll: cure serious wounds

Elf Fighter
elven chain coif
chain mail
longsword ?
dagger ?
composite shortbow
quiver
- 8x arrow

Elf Mage
white robe
bracres of ac 5
quarterstaff +1
dagger
scroll case
scroll: invissibility 10 foot radius
potion of extra healing

Elf Ranger
leather helm
leather armor
longsword +1
shield
dagger +1
composite shortbow
quiver
- 8x arrow

Elf Thief
leather armor
bracers of ac 5
ring of protection +1
short sword ?
dagger ?
lockpicks
composite shortbow
quiver
- 8x arrow

Elf Fighter/Mage
white robe
bracers of ac 5
ring of protection +1
longsword ?
scroll case
scroll: invissibility 10 foot radius
potion of healing
composite shortbow
quiver
- 8x arrow

Elf Fighter/Thief
Leather armor +1
ring of protection +1
longsword ?
dagger ?
lock picks
composite shortbow
quiver
- 8x arrow

Elf Mage/Thief
Leather armor +1
short sword ?
dagger ?
potion of extra healing
lock picks
scroll: invissibility 10 foot radius
composite shortbow
quiver
- 8x arrow

Elf Fighter/Mage/Thief
bracers of armor ac 5
longsword ?
dagger ?
potion of extra healing
scroll: invissibility 10 foot radius
composite shortbow
quiver
- 8x arrow

Gnome Cleric
blue robe
shield
mace ?
sling
sling pouch
- 8x sling bullet
scroll: invissibility to undead
scroll: cure serious wounds
scroll: cause serious wounds

Gnome Fighter
leather helm
leather armor +2
shield
short sword ?
sling
sling pouch
- 8x sling bullet

Gnome Thief
leather helm
leather armor
quarterstaff ?
potion of extra healing
lock picks
stone of good luck

Gnome Cleric/Thief
plate helm
leather armor +1
quarterstaff
sling
sling pouch
- 8x sling bullet
scroll: invissibility to undead
scroll: cure serious wounds
scroll: hold person
lock picks
stone of good luck

Gnome Fighter/Cleric
leather helm
lather armor +2
shield
mace ?
sling
sling pouch
- 8x sling bullet
scroll: invissibility to undead
scroll: cure serious wounds

Gnome Fighter/Thief
leather helm
laether armor +1
short sword ?
2x potion extra healing
sling
sling pouch
- 8x sling bullet

Half-elf Cleric
chain coif
cloak
mace ?
2x scroll: cure light wounds

Half-elf Fighter
plate helm
chain mail
longsword ?
throwing dagger
potion extra healing

Half-elf Mage
white robe
bracres of protection AC 5
ring of protection +1
quarterstaff ?
dagger ?
potion of extra healing
scroll: fireball

Half-elf Ranger
leather helm
leather armor +1
shield
longsword ?
short sword ?
3x throwing dagger
pouch(4)

Half-elf Thief
leather helm
leather armor
shield
short sword
throwing dagger
lock picks
potion of extra healing

Half-elf Fighter/Cleric
chain coif
chain mail
mace ?
sack(8)
potion of extra healing
scroll: cure serious wounds

Half-elf Fighter/Thief
plate helm
leather helm
leather armor +1
shield
longsword ?
throwing dagger
potion of healing
lock picks

Half-elf Fighter/Mage
white robe
2x ring of protection +1
bracers of protection AC 5
throwing dagger
potion of extra healing

Half-elf Cleric/Ranger
leather armor +1
shield
mace ?
pouch(4)
scroll case
2x scroll: cure serious wounds

Half-elf Cleric/Mage
cloak
mace ?
quarterstaff ?
scroll: cure serious wounds
scroll: magic missile

Half-elf Thief/Mage
leather helm
leather armor
short sword ?
quarterstaff ?
throwing dagger
lock picks
potion of extra healing

Half-elf Fighter/Mage/Cleric
cloak
bracers of protection AC 5
ring of protection +1
warhammer
quarterstaff ?
potion of extra healing
scroll: fireball
scroll: cure light wounds

Half-elf Fighter/Mage/Thief
cloak
bracers of protection AC 5
short sword ?
quarterstaff ?
potion of extra healing
throwing dagger
lock picks

Halfling Cleric
blue robe
mace ?
sling
sling pouch
- 8x sling bullet
scroll case
2x scroll: cure serious wounds

Halfling Fighter
leather helm +1
leather armor
short sword ?
potion of extra healing
pouch (4)

Halfling Thief
leather helm
leather armor
short sword ?
lock picks
potion of extra healing
potion of giant strength

Halfling Fighter/Thief
leather helm +1
leather armor
short sword ?
lock picks
potion of extra healing
potion of speed

Human Cleric
chain coif
cloak
shield
mace ?
scroll: neutralize poison
scroll: cure serious wounds

Human Fighter
chain coif
chain mail
bag(8)
potion of extra healing
longsword ?
dagger ?

Human Mage
white robe
scroll: mage armor
scroll: agannazer's scorcher
dagger +1
ring of protection +1
bracers of AC 5
potion of extra healing

Human Paladin
plate helm
chain mail
shield
broad sword
sack (8)

Human Ranger
leather helm
leather armor +1
shield
longsword ?
short sword ?
composite shortbow
quiver
- 8x arrow

Human Thief
leather helm +1
leather armor +1
short sword ?
quarterstaff ?
potion of speed
lock picks

Thank you, I really appreciate your efforts.

Nice work gnarbrag, I'm assuming the items with a question mark are enchanted and would need a mage with an identify scroll to see what they are.

I have the CD versions of Ravenloft 1 and 2, I will see what these enchanted items may be.

Here is the list of the starting items that have been identified in Ravenloft 1:

Human Fighter
Longsword +1

Human Mage
Dagger +1

Human Paladin
Broadsword +1

Human Ranger
Longsword +1

Human Thief
Quarterstaff +1

Half-Elf Cleric
Mace +1

Half-Elf Fighter
Long sword +1

Half-Elf Ranger
Longsword +1

Half-Elf Thief
Short sword +1

Half-Elf Fighter/Cleric
Mace +1

Half-Elf Fighter Thief
Longsword +2

Half-Elf Cleric/Ranger
Mace +1

Half-Elf Cleric/Mage
Quarterstaff +1

Half-Elf Thief/Mage
Short sword +1

Half-Elf Fighter/Mage/Cleric
Warhammer +1

Half-Elf Fighter/Mage/Thief
Short sword +1

Halfling Fighter
Short sword +2

Halfling Thief
Short sword +1

Halfling Fighter/Thief
Short sword +1

Gnome Thief
Quarterstaff +2

Gnome Fighter/Cleric
Mace +1

Gnome Fighter/Thief
Short sword +1

Dwarf Cleric
Warhammer +1

Dwarf Fighter
Battleaxe +1

Dwarf Thief
Dagger +1

Dwarf Fighter/Cleric
Warhammer +1

Dwarf Fighter/Thief
Battleaxe +1

Elf Cleric
Quarterstaff +1

Elf Fighter
Longsword +1

Elf Mage
Quarterstaff +1

Elf Ranger
Longsword +1
Dagger +1

Elf Thief
Short sword +1

Elf Fighter/Mage
Longsword +1

Elf Fighter/Thief
Longsword +1

Elf Mage/Thief
Short sword +1

Elf Fighter/Mage/Thief
Longsword +1

Thank you both for this lovely information!