A Rose by any other name would smell as sweet ... (that's definitely me!  ).

Companies vary a great deal as to what job titles they ascribe to various positions, particularly as very few titles are, in fact, protected by law.  In my very first job, the lowest grade staff were called "Personal Assistant", which generally means someone of a higher grade.  This worked to my advantage when I applied for my next job and went from being the lowest grade to "Secretary" to a President of a company.  My CV was very truthful, references obtained yadda yadda, and I demonstrated I had the requisite capabilities and competencies, so there was no problem.  In my current organisation "Administrative Assistant" is the most junior post, "Secretary" the next level, and there is only one "Executive Assistant" - moi.

If you are assistant to the senior staff and those seniors are management, then what about "Management Assistant" or "Senior Administrative Assistant", either of which might describe your post better.

Anyone who describes herself or himself as "just a secretary" (as in "just a housewife") should be made to count paperclips for a year.  There was a time when secretaries were ALL men.  It was only when women became involved in the profession, the advent of the typewriter and typing pool, that the profession was downgraded.  The former male secretaries were really the old-fashioned equivalent of a business assistant today and really quite senior, in control of substantial budgets, decision-making etc.

Good luck with re-framing your job title and do let us know how you get on.

Best wishes,

Rose