mystery plants

After my epic fail of outdoor gardening in Kamloops, I have been trying much harder to master my hand at patio gardens this summer in Victoria! We have two lovely big plant boxes on either edge of our deck and although my attempts at seeds have failed out there, the lavender I planted last year seems to be surviving and since Fraser has been religiously watering we've even got some thriving mystery plants! It is very possible that they will turn out to be weeds, but since I have no clue what they are I thought I'd throw some pictures up to see if any of you are pro-botanists! Let's take a peek shall we:

Yup, I certainly have no clue what that plant is! I even found a few bulbs when I was planting the lavender (which you can see peeping in from the side in that last picture) and they seem to have turned into those big heart/lily shaped leaves hiding under mystery plant number one. To add to the guessing fun it seems that the mysterious greenery is coming in symmetrically on both sides of the planter making me think they were at some point intentional. Let's take another look (this time with labeling)

Any of you gardeners out there have a clue what these are? Inquiring minds would love to know! If not, I guess I will pray for blooms and hope that can help me with identification! In the meantime - hooray for greenery! Happy Thursday!