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.
faidwen
noun. freedom
dor faidwen
place name. Land of Release
fairinor
place name. Land of Release
fairie
noun. freedom
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.
fairië
freedom
fairië noun "freedom" (LT1:250; since this is an abstract formation based on fairë "free", a meaning only ascribed to this word in early "Qenya" whereas fairë has a string of other meanings in Tolkien's later Quenya, the conceptual validity of fairië "freedom" may be questioned).
lérië
noun. freedom
Qenya cognate of G. Dor Faidwen in an early name list (PE15/7), likely a combination of faire (fairi-) “free” and nóre “land”.