I am designing and building a quad-copter. I have an approximate weight list for all the components except the batteries and brush-less motors. I'm looking for motor recommendations for what motor to use as the main lift engines.

Weight List
-Servos 22g *4
-RF Trans./Rec. 25g *1
-Props 19g *4
-Accel/Gyro Chip 2.5g *1
-Microcontroller 37g *1
-Frame *1 450g (over-estimation)
-Wiring *1 85g (over-estimation)

Total: 763.5g or .7635kg

-Batteries: Unknown Weight
-Motors: Unknown Weight

Goal Fly Time: 25min. - 60min.
//With the goal fly time it would render the quad-copter significantly heavier, due to the increased battery weight.

Possible motor suggestions

motor1

motor2

motor3

motor4

motor5

Motors 1-3 have been used by quad-copter creators before, but they seem to be for the smaller quad-copters.

Motors 4 & 5 are sold as helicopter motors, but they look like they'd be perfect for high weight quad-copters.

Large collection of batteries

I am aware that I need to figure out the total needed current in order to choose a battery but I need to choose what brush-less motors i'll be using first.

I have a set of props selected but they may need to be changed depending on what motor used.

None of the motors you listed will swing 12" props well. You need lower kv motors, maybe 600 to 800 range. If your goal is flight time, then your frame is way too heavy. Think of every extra gram as a second of flight lost. 25 minutes is easy enough. 60 is very difficult. Plug your numbers into ecalc to get an idea of what you need.
https://www.ecalc.ch/xcoptercalc.php?ecalc&lang=en

Would these be better suited?

Motor1

Motor2

Motor3

Motor4

Motor5

Motor6

The flight time isn't particularly important but I'd like it to be in the 30min range at max energy output if possible. I'll keep in mind the weight of the frame, i'm still looking into what materials to use. (types of foam or balsa wood)

Try this http://www.drone-configurator.com/configurator/
It may help a bit to chose the right parts

Originally Posted by sbt

Try this http://www.drone-configurator.com/configurator/
It may help a bit to chose the right parts

That's a nice resource.

I'm building a custom frame. (~300g) I was messing around with the different types, but some of the listed items are no longer sold, or are 3x the listed pricing. Thanks, I can at least reference the calculations it does.

If your wanting closer to the 60 min mark, think much bigger props 17" and over and sub 400kv motors. I havent been doing this long, but have built 2 quads now with 17" inch props and can get 40-50 minutes with a gopro. What are you going to use the quad for?

Purely for flying around. Building the quad-copter is primarily for flying, testing auto-mated code, and recording. The Quad-copter will be carrying extra-weight for an on-board flight system, so it'll have an extra circuit board for the sensors. (I'm working on some automated actions.) Additionally, a camera mounted on the Quad-copter will add on extra weight.