Mine: A fugly-a$$ green Target-bought rollerbag that meets the LxWxH dimensions of most major airlines. It is heavier than lead but at least two percent of the time I can find some willing sucker to hoist that bad boy into the overhead bin above my seat. My lovely 20 lb work-supplied laptop is always (and I mean ALWAYS) tucked neatly into it's work-supplied 15 lb accompanied bag. That's all I have.
I keep switching because I'm never satisfied. Something is always not right. My latest is Herve Chapelier 925N tote. I haven't tried it out yet on a trip, but I like that it's roomy, light, and I can toss it in the washer if it gets dirty.
My carry on luggage is a High Sierra piece of luggage my dad got from some conference from Deloitte. It was sitting in his attic, unused, until mine broke before a trip and I didn't have tiem to get something else, so I grabbed it... and I LOVE it. It fits everything and fits perfectly into that size thing they make you prove sometimes, like in London. It has held up better than the two sets of Samsonite I had before it. I love it.
And for a carry on purse I use an Herve tote or Longchamp. I don't really want to have to worry about any of my carry on pieces.
I have a Longchamp Les Pliages duffel bag. I love it because it's super light, stays clean, folds up small for storage, and I can fit a weeks worth of clothes in it if I pack carefully. I do wish it had a shoulder strap though- it's handheld only which can get uncomfortable if I'm walking through the airport.