Looking for a word like "eulogy", but for a person that has not died?

It sounds like a tribute or testimonial

From WordNet 3.0

tribute

n 1: something given or done as an expression of esteem [syn: {tribute}, {testimonial}]

From gcide

Testimonial (?), n. [Cf. OF. testimoniale, LL. testimonialis, L. testimoniales (sc. litterae). See Testimonial, a.] 1. A writing or certificate which bears testimony in favor of one's character, good conduct, ability, etc., or of the value of a thing.

[1913 Webster]

Nevermind...got stuck on "eulogy" and missed the whole point of not implying praise.

Would "encomium" suit your purposes?

http://www.merriam-webster.com/dictionary/encomium

A Praise :

• spoken or written words about the good qualities of someone or something : an expression of approval for someone or something.

(M-W)