I am a goblin in the wizarding world, and I just lost my job at Gringotts(FYI, I was NOT fired, I quit first) and I would really like to know if there are any job opportunities that don't discriminate towards goblins. I need a job soon so would you please help?
As @alexwlchan mentioned in his comment, Goblins are renowned primarily for their management of Gringotts as well as their metalsmithing and weapons manufactury (the Sword of Gryffindor being a particularly fine example).
‘Well, goblins won’t share any of their magic, either,’ said Ron. ‘You won’t tell us how to make swords and armour the way you do. Goblins know how to work metal in a way wizards have never –’
They're also known, canonically to mint the wizarding coinage
On real Galleons that’s just a serial number referring to the goblin who cast the coin. On these fake coins, though, the numbers will change to reflect the time and date of the next meeting.
Other known professions for goblins, however include;
- Commerce/Sales of precious metals
- Manufacturing of scents
- Newspaper Editorialist
- Public Relations
- Lift Operator
- Smokey-voiced jazz singer
- Legitimate businessman
Please note that a number of these feature only in the additional Harry Potter source materials such as the computer games, Wizard cards and film props.
This is partly due to the fact that JKR heavily drew on the existing mythology.
Goblins have always been treasure hoarders and often artisans.
And she kind of lumped in the (missing from Potterverse) niche of dwarves with their mining, smithing, artifact making and also gold hoarding.
The point you made about needing a wand for other professions is plausible but not 100% canon supported - e.g. house-elves can do magic without wands.
I'm not aware of many Goblins in other trades (there was an unidentified philosopher goblin mentioned on Wikia though).
Goblins are also known to be involved in the gambling trade (Goblet of Fire). I would suggest setting yourself up as a bookmaker.
I would not use Ludo Bagman to set your odds (https://www.pottermore.com/quidditch-world-cup/daily-prophet-reports-2014) as he will leave you open to arbetrage on the simplest of bets.