Why won't my orchid flower?

You're perhaps being too kind to it. I understood they only needed feeding while flowering. Give it a bit of neglect and it'll perhaps try to grab your attention!

The commonest one in supermarkets is Phalaenopsis - means something to do with butterflies. I have about five - some do just what the books say and form new flower spikes. Others in exactly the same situation don't do anything much. They usually form new flower shoots in early autumn.

It's common name is 'Moth Orchid' Celandine.

Mine flower once or twice a year in my bathroom. They're in an indirect light position, warm during the day and cool at night. I let the pots dry before watering again and feed every other watering with a weak orchid feed.

I cut the flower spikes off completely once finished.

Trefi have you been allowing the orchid to sit in water? The epiphytic orchids do not like this as in nature they only get wet when it rains. I'd take a look and see what the roots are doing and not water again until they are almost white, then just let water run through the pot for maybe five minutes before putting back in the cache pot. I cut the stems back to a visible bud node if I can see one but, as Rydeboyz says some never do flower again... at least they are lovely whilst they do flower and a lot easier on the purse than a weekly bunch of lilium longifolium.