Below given are some names of different types of phobias:

Heights - Acrophobia
Flying - Aerophobia
Open spaces,public places - Agoraphobia
Sharp pointed objects - Aichmophobia
Cats - Ailurophobia
Vehicles,driving - Amaxophobia
People - Anthropophobia
Water - Aquaphobia
Spiders - Arachnephobia
Lightning - Astraphobia
Frogs,amphibians - Bactrachophobia
Slime - Blennophobia
Thunder - Brontophobia
Cancer - Carcinophobia
Dogs - Cynophobia
Crossing streets - Dromophobia
Vomiting - Emetophobia
Insects - Entomophobia
Blood - Hematophobia
Being alone - Monophobia
Dirt and germs - Mysophobia
Snakes - Ophidiophobia
Ghosts - Phasmophobia
Death - Thanatophobia
The number 13 - Triskaidekaphobia
Strangers - Xenophobia
Animals - Zoophobia