Currently rotating:
BCBG eco-friendly canvas tote - I like eco-friendly totes because they're big and you can easily see and grab stuff you need. They're washable too. Ayoko lang is mahirap mag-organize because it's just one big space in it. That's why I tend to stay away from big bags.
Anya Hindmarch Shirley tote - I like it because it's not as deep as my canvas totes so you can find things easier especially when doing errands. It's well-made and I like that it's not too common.
LV Speedy - Well what can I say, everybody loves this bag.

I use it for easy activities like lunching and mild shopping. I CANNOT bear to carry this on my arm or by hand for more than 3 hours no matter how light it is. So consider if you're more of an arm or shoulder bag person.
Marc by Marc Jacobs Hillier tote - This is my absolute favorite. You can use this as an arm or shoulder bag (even as a messenger if you're petite enough). This is like a dressier, everyday tote for me. The one thing I don't like about it is it's more on the heavy side unlike the canvas totes. The leather's very thick, so it's sturdy, but still.
Here is a photo of it so you can see the two handles (and my old watermark from TPF hehe) That dark accessory is the LV cles and I attach it to the bag sometimes:
http://i36.tinypic.com/112524i.gifsmall Prada shoulder bag - For going out at night, dinners, events, etc. It's not the usual black evening bag, it's a bright fuschia one and I like that. A woman should have at least one bag for evening use. So consider the purpose for why you need a bag now.

Hope this helps! Oh and if you want something unrecognizable, you might want to check out indie designers like Gryson, Rebecca Minkoff (heard her bags are nice), Orla Kiely, etc.