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.

Gnomish

saitha-

verb. to have hunger

A verb appearing as G. saitha- or saictha- “to have hunger” in the Gnomish Lexicon of the 1910s “hungry” (GL/66), clearly based on the early root ᴱ√SAẎA “hunger” which was mostly used in combination with -kǝ (QL/82). The primitive form was probably ✱saiktā-. Tolkien said this verb was used both personally and impersonally.

Neo-Sindarin: For purposes of Neo-Sindarin, I adapt this verb as ᴺS. saetha- from the Neo-Root ᴺ√SAYAK, but I assume it is a causative verb meaning “to cause hunger”. I think this alternate meaning aligns better with Tolkien’s statement that the verb is “personal and also impersonal”. Hence “I am hungry” would be saetha annin “hunger is caused to me”.

saictha-

verb. to have hunger


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.