There are more words but they are from Tolkien's earlier conceptional periods. Tolkien likely changed these words as he evolved the aesthetics and completeness of the languages. You may even find languages that Tolkien later rejected. Do not mix words from different time periods unless you are familiar with the phonetic developments.

Early Quenya

loire

adjective. thirsty

Early Quenya [QL/056] Group: Eldamo. Published by

loimea

adjective. thirsty

Early Quenya [QL/056] Group: Eldamo. Published by

Early Primitive Elvish

tloise

noun. tloise

Early Primitive Elvish [PE13/154] Group: Eldamo. Published by

Gnomish

luib

adjective. thirsty

Early Noldorin

faug

adjective. thirsty

Early Noldorin [PE13/138; PE13/143] Group: Eldamo. Published by

Old Noldorin 

phauka

adjective. thirsty

Old Noldorin [Ety/PHAU] Group: Eldamo. Published by

Below: Tolkien's Late Period (1950–1973). These are from Tolkien's late conceptual period — his most settled forms of the languages. Prefer these over the earlier ones above when composing new text.

Noldorin 

faug

adjective. thirsty

Noldorin [Ety/381] Group: SINDICT. Published by

faug

adjective. thirsty

Noldorin [Ety/PHAU] Group: Eldamo. Published by

Quenya 

fauca

thirsty

fauca ("k") adj. "thirsty" (PHAU; original glosses "thirsty, parched; lit. open-mouthed", VT46:9)

parca

adjective. thirsty

Quenya [PE 22:122] Group: Mellonath Daeron. Published by

soica

thirsty

soica ("k") adj. "thirsty" (VT39:11)

soica

adjective. thirsty

An adjective for “thirsty” in notes from around 1960 derived from the root √SOK “drink” via i-infixion (VT39/11), a process which produced a small class of desiderative words in Quenya, as in “desiring to drink”. See the entry ᴹQ. fauka for earlier and alternate words for “thirsty”.