There are 3 irises I have that come to mind with pretty large blooms. 'Sweeter than Wine'(STW) a TB purple NOID and a TB light yellow NOID. The Purple NOID and 'STW' grow in the same flower bed. And the yellow NOID is very fragrant. It grows and blooms in Partial to Dappled shade.
The first pic. you will see the purple NOID and 'STW' in the background.