Which of the following is not a real achievement?

There is no "Level 25- 1 Dragon" Achievement - the battling achievements are for levels 10 and 20, not 25.

Honorable is a Clan Achievement for exalting 10 dragons.
You're the Best Around is a Miscellaneous Achievement.
Guardfeathers is a Breeding Achievement for birthing a hatchling that exhibits the Seraph Secondary Gene.