Jim,
I work on stucco daily due to regional construction designs and architecture. Most of the work is exclusion based, birds or bats.
Though there are gobs of anchors out there that you could use and get to hold, what I utilize most are the expanding anchor system
and with lighter wire or metal mesh where pounds of pressure on it isn't going to be great, you can use the smaller versions which will
be less visible. Generally if we have to use under the soffit exclusion materials like kwik mesh, we color match it to the stucco which is
often beige or some form of tan for us. Once up it really disappears, though the screws that come with the anchor kits are generally
shiny as the day is long, still pretty unobtrusive if up higher in the air like second story.
Hope that helps, you can get just about anything into stucco with pre-drilling which the kit requires, but true "stucco anchors" often seek
to go behind the stucco and then lock in behind the sheets of lath and so forth. These nearly always cause me issues as stucco seems to
vary widely and don't get me started on what bob mentioned above! I've had some commercial buildings where one wall is solid concrete,
the next is stucco, the next is wood and then finally a dryvit panel all of which need to hold bird net canopies and the pressure they put on
anchors. Not my idea of fun and now I look very closely at what is there as I spent lots of time running back and forth to hardware stores
in my first year (still do, but less than before).
Bulldog is one brand of those anchors, they are readily available in your big box hardware stores and come with the bit that is sized for the
anchor sleeve. We seal inside the hole as well before inserting the sleeve to protect from water intrusion potential.
Thats my .02, I'm sure there are tons of other options, this is what works best for us and keeps things where they need to stay!
Best,
Justin