Here is a capsule summary of annuals flowering in June and the respective colors:

African Daisy (orange, pink, red, white flowers);
Baby Blue Eyes (blue, white flowers);
Bachelor’s Button (blue, pink, purple, yellow, white flowers);
Blazing Star (yellow flowers);
Blue Daisy (blue flowers);
Bouncing Bet (pink, white flowers);
Browallia (blue, orange, red, violet, white flowers);
Butterfly Flower (pink, purple, red, violet, yellow, white flowers);
California Poppy (gold, orange, pink, red, white flowers);
Candytuft (lavender, pink, purple, red, white flowers);
Celosia (pink, purple, red, yellow flowers);
China Aster (blue, lavender, pink, purple, red, yellow, white flowers);
Clarkia (pink, purple, red, yellow, white flowers);
Cleome (pink, purple, yellow, white flowers);
Convoluvulus (blue flowers);
Coreopsis (orange, red, yellow, multi-color flowers);
Devil’s Paint Brush (orange, red flowers);
Diamondflower (blue flowers);
Dianthus (pink, red, yellow and multi-color flowers);
Double Feverfew (yellow, white flowers);
Evening Primrose (yellow flowers);
Evening-Scented Stock (blue flowers);
Everlastings (silvery white, yellow centers);
Floss Flower (blue, pink, purple, white flowers);
Flowering Flax (pink, red, white flowers);
Flowering Maple (pink, red, yellow flowers);
Flowering Tobacco (pink, purple, red, white flowers);
Four o’Clocks (pink, red, yellow, white flowers);
Globe Amaranth (orange, pink, purple, red, white flowers);
Heliotrope (blue, purple, white flowers);
Horn of Plenty (purple, yellow, white flowers);
Ice Plant (purple, red, white flowers);
Impatiens (orange, pink, purple, red, white flowers);
Lantana (orange, pink, yellow, white flowers);
Larkspur (blue, lilac, pink, rose, salmon, white flowers);
Lavender Daisy (blue, white flowers);
Linaria blue (cream, gold, lavender, pink, purple, red, yellow flowers);
Lobelia (blue, pink, red, white flowers);
Love-in-a-Mist (blue, pink, purple, rose, white flowers);
Lupine (blue, pink, white flowers);
Annual Mallow (pink, white flowers);
Mallow Wort (pink, red, white flowers);
Marigold (orange, red, yellow, white flowers);
Marshflower (yellow, white flowers);
Mexican Aster (pink, red, yellow, white flowers);
Mignonette (greenish white tinged with copper flowers);
Nasturtium (orange, pink, red, yellow flowers);
Nemesia (blue, pink, purple, red, yellow, white flowers);
Painted Daisy (pink, red, yellow, white flowers);
Periwinkle (blue, white flowers);
Pheasant’s Eye (red flowers);
Pincushion Flower (blue, lavender, maroon, pink, purple, red, salmon, white flowers);
Phlox (orange, pink, red, white flowers);
Poppy (orange, pink, red, yellow, white flowers)
Pot Marigold (apricot, cream, orange, yellow, white flowers);
Queen Anne’s Blue Lace Flower (blue flowers);
Satin Flower (orange, pink, red, white flowers);
Snapdragon orange, pink, purple, red, white flowers);
Statice (apricot, blue, lavender, peach, rose, yellow, white flowers);
Summer Forget-Me-Not (blue flowers);
Swan River Daisy (blue, pink, white flowers);
Sweet Pea (apricot, cream, lavender, pink, purple, red, white flowers);
Sweet Alyssum (blue, cream, lavender, pink, purple. Red, yellow flowers);
Sweet Sultan (blue, pink, purple, rose, yellow, white flowers);
Transvaal Daisy (orange, pink, red, yellow, white flowers);
Twinspur (coral, deep pink, rose-pink flowers);
Velvet Flower (blue, orange, pink, purple, red, yellow flowers);
Verbena (blue, pink, purple, red, white flowers);
Virginia Stocks (pink, white flowers);
Wallflower (burgundy, orange, purple, red, yellow flowers);
Zinnia (blue, orange, pink, purple, red, yellow, white flowers).