Synonyms for compare

Most common

1. Liken

2. Collate — to assess the similarities and differences between two or more things [“to compare X with Y”]. Having made…

Other

confront

1. Comparison

comparison, comparability, parallel, equivalence

Other

balance

v. 1
To assess the similarities and differences between two or more things [“to compare X with Y”]. Having made the comparison of X with Y, one might have found it similar to Y or different from Y.
You can't compare my problems and yours.
v. 2
To declare two things to be similar in some respect [“to compare X to Y”].
Astronomers have compared comets to dirty snowballs.
n. 1
Comparison.

Plural: compares → comparisons, comparabilities, parallels, equivalences…
Past participle: compared
e.g. compared → likened, equated, assimilated, collated…

or Compare?

We must compare them, at least momentarily, even to know that they are different.

J. C. Fernald, English Synonyms and Antonyms (1914)

Use in printed books, per decade from 1850 to 2019.

The small number after each word is its number of syllables (liken² = 2 syllables).