I've actually been quite impressed by most of the sides (chips or onion rings) at most burger places.
The Burger Bistro
Shop 16 Shafto Lane, Perth
http://www.theburgerbistro.com.au/
DELICIOUS! What more can I say. But like I said above, the main reason why I loved this place so much was because of their no-carb (i.e. bun-less) option. And their amazing chips and sauces. Average price for a gourmet burger around the $14-15 mark.
Jus Burger
743 Newcastle Street, Leederville
http://www.jusburgers.com.au/

Bilby's
Shop 5, 64 Davies Street, Claremont
http://www.bilbys.com.au/
I remember hearing that this was the best burgers in Perth and so we had to go and try it out. They're cheaper than other burger places at around $9-11 and they have this really cheap deal where you get 2 classic beef burgers and 2 classic chicken burgers for around $20-30... I've forgotten... but it's a good deal!!! The first time I came here I tried the chicken burger which wasn't the best choice unless you're a big fan of chicken breast. I'm a thigh person, and so I found the chicken a little tough. I went back and had the beef patty and I will never go back to chicken burgers! Nice simple burgers which are quite tasty. Chips with their peri-peri mayonnaise is very tasty! But a little difficult to finish after eating their giant burgers.
Alfred's Kitchen
Cnr Meadow & James Street, Guildford
http://www.alfredskitchen.com.au/
Simple home-made like burgers. So simple, and so tasty. There were hamburgers or steak burgers with eggs, bacon and/or cheese. Burgers were around the $8-10 mark which isn't too bad. They also have a nice bonfire type thing going on there. But I hear you have to head there early-ish for it to be warm enough in the winter. We went around 2am and the fire was dying down so we found ourselves eating in the car. There's no indoor seating. It's like a school canteen type of set-out.
FAB Burgers (Australia's Finest Burgers)
Hillary's Boat Harbour, Hillarys
http://www.fabburgers.com.au/
They claim to be Australia's finest burgers so of course we had to try this place! Wasn't anything amazing considering we drove half an hour to get here. We chose the Supreme (100% Butterfield Beef, Sauteed mushrooms & onions, smokey barbecue sauce & salad) and the Cheese (100% Butterfield Beef, mature cheddar cheese, salad & relish). There was a generous amount of BBQ sauce, so much so that it spilled all over my hands and onto the plate. Perhaps my bad eating skills are also to blame... The buns were softer than what you find at other gourmet burger places which made it easier to eat. And they have cajun onion rings which are overly deep-fried so very oily but tasty in small portions. As a deep-fried lover I quite enjoyed them but I'm not sure if they'd be everyone's cup of tea.
Flipside Burger Bar
239 Queen Victoria Street, North Fremantle
http://www.flipsideburgerbar.com.au/
My friend and I got the BBQ Bacon and Cheese + Egg (150g prime beef, crispy bacon, cheddar cheese, salad, chunky BBQ relish & mayo) and the Q.V.B. (150g prime beef, crispy bacon, cheddar cheese, free range egg, beetroot slices, salad, tomato relish & mayo) which came to $26/2p. The burgers were pretty much the same as any other gourmet burger place, although slightly cheaper. The thing that set this place apart was their eggs. They were cooked perfectly! The egg yolk was still slightly runny, not so much that it overflowed, but just enough to have that soft yolky taste. Delicious!
V Burger Bar
12/910 Albany Hwy, Victoria Park
http://www.vburgerbar.com.au/
We got the Classic V (Prime beef, gourmet salad, V relish & aioli) and the F.B.A Full Blooded Aussie (Prime beef, bacon, fried egg, cheese, sliced beetroot, gourmet salad, BBQ sauce & aioli). I liked this place for the generous amount of sauce. I'm the kind of person who asks for extra sauce and extra cheese when I go to Subway, so the sauce made it for me. I'd revisit if I was in the area but it wouldn't be my favourite place.
Grill'd
669 Beaufort Street, Mt Lawley
http://www.grilld.com.au/
My friend and I ordered the Wild Wild West (Grilled 100% lean beef, tasty cheese, cripsy trim bacon, free range egg, a couple of slides of beetroot with salad, relish & herbed mayo) and Grill'd Bird & Brie (Grilled chicken breast, brie cheese, thick cranberry sauce, salad & herbed mayo) to share. We choose the chicken one because the idea of brie cheese was very exciting, but it turned out to be very dry, bland and disappointing. The beef burger was similar to what you'd expect at any other burger place, but slightly less tasty. This place boasts being a "healthy burger joint" which I don't believe in. To be "healthy" they have reduced the amount of sauce which reduces the tastiness. Their chips were coated in some sort of herb along with salt which was tasty, but they weren't as crunchy as I would have liked. So I wouldn't revisit this place if I could avoid it. If I was in Mt Lawley, I'd rather revisit Monte Fiore for some deep fried camembert.
Retro Betty's
Greater Union Cinemas, 57 Liege Street, Innaloo
I like this place because it has a nice feel about it, yes, retro. Also they have milkshakes and smoothies. I haven't been here in a long long time though, so can't really give a good review. I've been meaning to revisit for ages, but sadly never got a chance. Will re-review once I try it again.
I think most burger places are pretty similar and it's only the small things that set them apart. My top burger places would be Burger Bistro for its carb-less option and amazing chips, Flipside for its egg and Alfred's Kitchen for its homely styled burgers. I'd say Jus Burger and Bilby's are above average with tasty sides, but I'm unlikely to revisit Grill'd or FAB Burgers. V Burger wasn't awful but it wasn't amazing so I'm unlikely to revisit this either. Burger Bistro mm!