ESL text: "I notice similarities between myself and . . . ": Acceptable use of reflexive pronoun?

A reasonable approach to answering your question is to substitute both the regular and reflexive forms of other pronouns in the specimen sentence to see if a pattern of acceptability emerges:

One notices similarities between oneself and other people more than differences.

*One notices similarities between one and other people more than differences.

She notices similarities between herself and other people more than differences.

*She notices similarities between her and other people more than differences.

It notices similarities between itself and other [entities] more than differences.

*It notices similarities between it and other [entities] more than differences.

We notice similarities between ourselves and other people more than differences.

*We notice similarities between us and other people more than differences.

You notice similarities between yourself and other people more than differences.

*You notice similarities between you and other people more than differences.

They notice similarities between themselves and other people more than differences.

*They notice similarities between them and other people more than differences.

In all these cases, the reflexive form of the pronoun (which in this kind of construction I think could more accurately be described as the emphatic form) strikes me as sounding much more natural than the non-emphatic form, particularly in the case of 'oneself/one'.

By analogy, 'myself' is preferable to 'me' (and it also intuitively sounds more natural to my ear).