Hi guys, took me a while to find this again, but here it is.
*Credit: Henry F. Beechhold - College of New Jersey, Ewing, New Jersey, USA.

One last point. A number of specific names are Latinized proper names (e.g., darlingi). Here pronunciation gets tricky, for the question arises of whether names of non-English origin (e.g., steindachneri) should be Anglicized. For the most part, I'll do so - more or less. Hence, STYN-dahk-nuh-ree (not SHTYN-).
Phonetic Key (primary stress = capitals)
a = a of "bay"
ah = a of "bar"
au = ou of "bout"
aw = au of "bought"
aa = a of "bat"
e = e of "bet"
ee = ee of "bee"
y = i of "by"
i = i of "bit"
o = o of "go"
oy = oy of "boy"
oo = oo of "shoo"
u = u of "bull"
uh = u of "but"
ch = ch of "chug"
g = g of "bug"
ng = ng of "long"
j = j of "jug"
sh = sh of "shrug"
th = th of "thing"
dh = th of "then"
y+vowel = y of "you"

Pronunciations (duplicates will not be repeated).

Theraphosidae (ther-uh-FO-suh-dee)

Acanthoscurria (uh-kan-thuh-SKOOR-ee-uh)
antillensis (an-tuh-LEN-sis)
musculosa (muhs-kyuw-LO-suh)
suina (SWEE-nuh)
Aphonopelma (uh-fone-uh-PEL-muh)
anax (AA-naaks)
armada (ahr-MA-duh)
behlei (BA-la-i)
bicoloratum (by-kuh-luh-RA-tuhm)
burica (BU-ree-kuh)
caniceps (KAA-nuh-seps)
chalcodes (KAAL-kuh-deez)
crinita (KREE-nuh-tuh)
duplex (DOO-pleks)
eutylenum (yoo-tuh-LAY-nuhm)
hentzi (HENT-see)
heterops (HEH-tuh-rahps)
moderatum (mah-duh-RAH-tuhm)
pallidum (PAA-luh-dum)
rusticum (RUH-stuh-kuhm)
seemanni (SAY-muh-nee)
steindachneri (STYN-dahk-nuh-ree)
vorhiesi (VOR-hee-zee)
Avicularia (uh-vik-yuh-LAH-ree-uh)
variegata (vaa-ree-uh-GAH-tuh)
caesia (SEE-zee-uh)
fasciculata (faa-sik-yuh-LAH-tuh)
juruensis (joo-roo-EN-sis)
laeta (LY-tuh)
metallica (meh-TAA-luh-kuh)
minatrix (MI-nuh-triks)
nigrotaeniata (nee-gro-ty-ne-AH-tuh)
pulchra (PUL-kruh)
purpurea (purh-PURH-ee-uh)
urticans (URH-tuh-kaanz)
versicolor (VUHR-suh-kuh-luhr)
Brachypelma (braa-kee-PEL-muh)
albopilosum (aal-buh-puh-LO-suhm)
angustum (ang-GUHS-tuhm)
auratum (au-RAH-tuhm)
baumgarteni (BAUM-gahr-tuh-nee)
boehmi (BAY-mee)
emilia (uh-MEEL-yuh)
epicureanum (e-pi-kyuhr-ee-AA-nuhm)
fossorium (fuh-SAW-ree-uhm)
klaasi (KLAH-see)
sabulosum (saa-byoo-LO-suhm)
smithi (SMITH-ee)
vagans (VA-gaanz)
Ceratogyrus (suh-rah-tuh-JY-ruhs)
bechuanicus (bek-WAHN-uh-kuhs)
brachycephalus (braak-ee-SEF-uh-luhs)
darlingi (DAHR-ling-ee)
Chaetopelma (kee-to-PEL-muh)
olivaceum (ah-luh-VA-see-uhm)
shabati (shuh-BAH-tee)
Chilobrachys (kee-lo-BRAA-kees)
andersoni (AAN-duhr-suh-nee)
sericeus (suh-REE-see-uhs)
Chromatopelma (kroh-maa-tuh-PEL-muh)
cyaneopubescens (sy-aan-ee-o-pyoo-BEH-sinz)
Citharacanthus (kith-uh-ruh-KAAN-thuhs)
crinirufus (kri-ni-ROO-fuhs)
longipes (LAWN-juh-peez)
Citharischius (ki-thuh-RI-skee-uhs)
crawshayi (KRAW-sha-ee)
Coremiocnemis (kuh-ree-mee-ahk-NEE-muhs)
validus (VAA-luh-duhs)
Crassicrus (kruh-SEE-kruhs)
lamanai (luh-MAA-ny)
Cyclosternum (sy-klo-STUHR-nuhm)
fasciatum (fah-shee-AH-tuhm)
macropus (muh-KRO-puhs)
Cyrtopholis (suhr-TAH-fuh-luhs)
portoricae (pawr-TAWR-uh-sy)
Ephebopus (e-FA-buh-puhs)
fossor (FO-suhr)
murinus (muh-REE-nuhs)
Eucratoscelus (yoo-kra-tuh-SKA-luhs)
longiceps (LAWN-juh-seps)
Eupalaestrus (yoo-puh-LES-truhs)
weijenberghi (WA-in-bar-gee)
Grammostola (Gramm-a-stohl-ah)
Hapalopus (huh-PAA-luh-puhs)
incei (IN-see)
Haplopelma (haa-pluh-PEL-muh)
albostriatum (aal-bo-stry-A-tuhm)
lividum (LI-vi-duhm)
minax (MEE-nahks)
Harpactira (hahr-PAAK-tuh-ruh)
atra (AH-truh)]
Heteroscodra (he-tuh-ruh-SKAH-druh)
crassipes (kraa-SI-peez)
maculata (maak-yuh-LAH-tuh)
Heterosthele (he-tuh-ro-STHA-lee)
villosella (vil-uh-SE-luh)
Hysterocrates (hi-stuh-ro-KRA-teez)
gigas (JEE-guhs)
hercules (HUHR-kyuh-leez)
laticeps (LAA-tuh-seps)
robustus (ro-BUHS-tuhs)
Iridopelma (ir-i-duh-PEL-muh)
hirsuta (hurh-SOO-tuh)
zorodes (zuh-RO-deez)
Ischnocolus (isk-NAH-kuh-lus)
hancocki (HAAN-kah-kee)
Lampropelma (laam-pruh-PEL-muh)
violaceopedes (vee-o-luh-see-AH-puh-deez)
Lasiodora (laa-see-uh-DAW-ruh)
difficilis (dif-uh-SI-lis)
erthrocithara (uhr-thruh-SI-thuh-ruh)
klugi (KLOO-gee)
parahybana (paa-ruh-hy-BAA-nuh)
Megaphobema (meg-uh-FO-buh-muh)
mesomelas (me-SO-muh-luhs)
peterklassi (PA-tuhr-kla-see)
robustum (ruh-BUH-stuhm)
velvetosoma (vel-vuh-TA-suh-muh)
Metriopelma (me-tree-uh-PEL-muh)
zebrata (zuh-BRAH-tuh)
Nhandu (NAHN-doo)
carapoensis (kaa-ruh-po-EN-sis)
Ornithoctonus (awr-nuh-THAK-tuh-nuhs)
Pamphobeteus (pam-fuh-BEE-tee-uhs)
antinous (aan-TY-nuhs)
fortis (FAWR-tuhs)
insignis (in-SIG-nuhs)
nigricolor (NY-gruh-kuh-luhr)
ornatus (awr-NAH-tuhs)
vespertinus (ves-puhr-TEE-nuhs)
Paraphysa (paa-ruh-FY-suh)
manicata (mah-nuh-KAH-tuh)
scrofa (SKRO-fuh)
Phoneyusa (fo-nuh-YOO-suh)
Phormictopus (fawr-mik-TO-puhs)
cancerides (kahn-SE-ruh-deez)
cubensis (kyoo-BEN-sis)
nesiotes (ne-see-O-teez)
Phrixotrichus (frik-suh-TRI-kuhs)
actaeon (AK-tee-ahn)
alticeps (AHL-tuh-seps)
burzaquensis (boor-zuh-KEN-sis)
cala (KAH-luh)
grossa (GRO-suh)
iheringi (ee-HE-ring-ee)
mollicoma (mah-LI-kuh-muh)
spatulata (spah-chuh-LAH-tuh)
Plesiopelma (ple-see-uh-PEL-muh)
longisternale (lawn-juh-STER-nuh-lee)
Poecilotheria (pee-suh-luh-THI-ree-uh)
formosa (fawr-MO-suh)
miranda (mi-RAAN-duh)
ornata (awr-NAH-tuh)
regalis (ra-GAH-luhs)
rufilata (roo-fee-LAH-tuh)
striata (stree-AH-tuh)
subfusca (suhb-FUS-kuh)
Psalmopoeus (sal-muh-PEE-uhs)
cambridgei (KAM-bri-jee)
irminia (urh-MI-nee-uh)
reduncus (ri-DUNG-kuhs)
Pseudotheraphosa (soo-do-the-ruh-FO-suh)
apophysis (ah-PAH-fuh-suhs)
Pterinochilus (te-ruh-nuh-KY-luhs)
affinis (uh-FEE-nuhs)
constrictus (kuhn-STRIK-tuhs)
hindei (HIN-duh-ee)
meridionalis (muh-ri-dee-uh-NAH-luhs)
sjoestedti (SHO-ste-tee)
spinifer (SPI-nuh-fuhr)
vorax (VAW-raaks)
widemanni (WEE-duh-mah-nee)
Selenocosmia (se-luh-nuh-KAHZ-mee-uh)
honesta (ah-NES-tuh)
javanensis (jah-vuh-NEN-sis)
sumatrana (soo-mah-TRAH-nuh)
lanipes (LAH-nuh-peez)
lyra (LEE-ruh, LY-ruh)
stirlingi (STURH-ling-ee)
strubelli (stroo-BEL-ee)
Sericopelma (se-ruh-kuh-PEL-muh)
generala (je-nuh-RAH-luh)
immensa (ee-MEN-suh)
melanotarsum (mel-uh-no-TAHR-suhm)
Sphaerobothria (sfir-uh-BAHTH-ree-uh)
hoffmanni (HAHF-muh-nee)
Stromatopelma (stro-maa-tuh-PEL-muh)
calceatum (kaal-see-AH-tuhm)
griseipes (gree-SEE-uh-peez)
Tapinauchenius (taa-puh-nau-KEE-nee-uhs)
plumipes (PLOO-muh-peez)
Theraphosa (the-ruh-FO-suh)
blondi (BLAHN-dee)
Vitalius (vee-TAH-lee-uhs)
cesteri (se-STE-ree)
platyomma (plaa-tee-O-muh)
roseus (RO-zee-uhs)
sorocabae (suh-RO-kuh-by)
Xenesthis (ze-NES-this)
imanis (ee-MAH-nis)
monstrosa (mahn-STRO-suh)

Scorpiones (skawr-pee-O-neez)
Androctonus (aan-DRAK-tuh-nuhs)
australis (au-STRAA-luhs)
Buthus (BYOO-thuhs)
occitanus (ahk-suh-TAH-nuhs)
Centruroides (sen-troo-ROY-deez)
exilicauda (ek-sil-uh-KAU-duh)
gracilis (GRAA-suh-lis)
testaceus (tes-TA-shuhs)
Hottentotta (hah-tuhn-TAH-tuh)
judaica (joo-DA-I-kuh)
Isometrus (y-suh-ME-truhs)
maculatus (maak-yuh-LAH-tuhs)
Leiurus (la-YOOR-uhs)
quinquestriatus (kwin-kwes-tree-AH-tuhs)
Diplocentrus (di-pluh-SEN-truhs)
Hadogenes (huh-DAH-juh-neez)
Liocheles (lee-AH-kuk-leez)
australasiae (au-struh-LAHZ-ee-y)
Opisthacanthus (ah-puhs-ahk-KAAN-thuhs)
asper (AS-puhr)
Anuroctonus (ah-noor-AHK-tuh-nuhs)
phaiodactylus (fy-uh-DAAK-ti-luhs)
Hadrurus (hah-DROOR-uhs)
arizonensis (aa-ruh-zo-NEN-sis)
pallidus (PAA-li-duhs)
spadix (SPAH-diks)
Heterometrus (he-te-ruh-ME-truhs)
longimanus (lawng-juh-MAH-nuhs)
Pandinus (pan-DEE-nuhs)
cavimanus (kaa-vuh-MAH-nuhs)
imperator (im-puh-RAH-tawr)
Scorpio (SKAWR-pee-o)
maurus (MOW-ruhs)
Paruroctenus (pah-roo-RAK-tuh-nuhs)
becki (BE-kee)
boreus (BAW-ree-uhs)
gracilior (graa-SIL-ee-awr)
luteolus (loo-tee-O-luhs)
masaensis (ma-suh-EN-sis)
silvestrii (sil-VES-tree-ee)
utahensis (yoo-tah-EN-sis)
Serradigitus (ser-uh-DIJ-uh-tuhs)
Vaejovis (vy-JO-vuhs)
coahuilae (ko-uh-HWIL-y)
confusus (kuhn-FYOO-suhs)
Uroctonus (uh-RAHK-tuh-nuhs)
mordax (MAWR-daaks)
Uropygi (yoor-uh-PI-jee)
Mastigoproctus (mas-tuh-go-PRAHK-tuhs)
giganteus (jy-GAAN-tee-uhs)

Updated.

Updated, as per request.
I am including a short/good/interesting Latin guide.