Geums, varieties of heleniums, roses, wallflowers, some forms of achillea, alstroemaria, hemerocallis, kniphofia, euphorbia................
I too love orange flowers, mixed with blue, cream and white. Nasturtiums are very useful and they self seed. I especially like the ones with variagated leaves and coral/orange flowers. Then there are tulips and I believe there is an orange form of Campsis (I have the yellow one; a strong creamy custard colour; not at all insipid). Also Cheonomeles (?) and an almost luminous Berberis; 'Orange King'. 'Apricot Twist' is a great wallflower, B&Q often have it in the spring.Would be very interested to hear about your blue flowers; all the ones I get from nurseries end up being purple; especially Aubretia.
how about orange marigolds on mass,thats pretty.
another vote for orange French marigolds and geums here
I love orange flowers and when I saw this Coreopsis 'mango punch' in the garden centre, I just had to have it. It's so unusual it almost looks like the flowers are in a meadow situation and insects love it too!
Buddleia globosa; crocosmia; Chilean Glory vine - climber; Hope you win the lottery to get a bigger garden to put all the plant suggections in and be able to afford them too! Though the glory vine will grow from seed easily.
Also, don't forget those lovely orange Winter pansies which have a lovely scent. Planted in a pot on the garden table can cheer up a dull Winter.
Many thanks for list of blue flowers; I shall enjoy tracking them down. Looking at the Campsis just now that I mentioned previously, I think one could call it pale orange. I planted a Clematis called Orange Peel earlier this year but it has not flowered yet, though photos on line look promising.