Appraise, Concentration, Craft (any 3), Forgery, Perform (any 2), Profession (any 3), Sleight of Hand ?? I could easily be persuaded to change some of the Craft, Perform, or Profession skills out.
A racial bonus is probably appropriate.
From the description these Tasked Genie specialize in a single craft, so they don't need that many Crafts, Performs and Professions.
Hmm, I'd also be tempted to drop Sleight of Hand. They may have nimble fingers but they don't seem to be thieves.
I'd give them a +4 racial bonus on art-related skills.
Maybe Use Magic Device to cover magical tools for making Art?
One or two of the Profession skills might give way for one or more Knowledge skills... perhaps Architecture/Engineering, Geography, History, Local, or Nature at half the number of ranks. Artists might have a reasonable level of knowledge on certain subjects for which they paint, sculpt, or write epic poems. I'd certainly err on giving them fewer points for these skills.
Other than that, I'm drawing a blank right now.
I'd drop Architecture/Engineering, since that's more the province of a Builder Genie, and replace it with Nobility and Royalty, since that covers the genies' most likely patrons.
I could also see them having Knowledge (arcana) or (religion) if they're producing symbolic or ceremonial artworks.
That makes eight Knowledge Skills plus seven others. If we give it half points in the Knowledge skills that'd be equal to eleven maxed-out skills, leaving one skill to use up the points.
Diplomacy for impressing and manipulating clients?
That'd make it:
Skill Ranks: Appraise
10*, Concentration
10, Craft (any one)
10*, Diplomacy
10, Forgery
10, Knowledge (Arcana, Geography, History, Local, Nature, Religion, Nobility and Royalty)
5 ranks each, Perform (any one)
10*, Profession (any one)
10*, Use Magic Device
10
*An Artist genie gains a +4 racial bonus on Appraise, Craft, Perform and Profession checks related to its specialization (painting, armoursmithing, et cetera).