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Blackvue DR650S-2CH as some have already recommended, but I would order it with the Power Magic Pro, which is basically an add-a-fuse kit so that the camera has power when parked but won't drain the battery below a set voltage level.
It also records if there's any motion or g-sensor activated while in parking mode. This is pretty high-end as far as dashcams go (and priced accordingly) but it fulfills all your criteria and is certainly better quality controlled than any of the no-branded dashcams.
Bit more expensive than you suggested perhaps, but this is what I have. It takes excellent video, has GPS, mph overlay, and has rearview.
In front of the restaurant with cameras everywhere. The dude had balls of steel and luck.
Don't put in inward just get the one with 2 channels. I got this one https://www.amazon.com/gp/product/B00MC56AXM/ref=oh_aui_detailpage_o00_s00?ie=UTF8&th=1
I have this 2-channel dashcam. One mounted forwards, one facing rear. It's hard wired but has a voltage cutoff to prevent heavy drain on the car battery. It's got about as good of a long-term reliability record as you'll find in this product space, and the picture quality is excellent. But it's fucking expensive.
Me, I've been very happy with it. I think the peace of mind is worth the money.
This is why I have a dashcam that records even while my car is parked. From both the front and back. https://www.amazon.com/dp/B00MC56AXM?th=1
Depends on budgets and needs:
High end: Black 2 channel http://www.amazon.com/Blackvue-DR650GW-2CH-Built--Wi-Fi-Recorder/dp/B00MC56AXM/ref=sr_1_1?ie=UTF8&qid=1463874060&sr=8-1&keywords=blackvue+dash+cam
Mid range: Street guardian. Sony sensor is good in low light compared to cheaper modesl http://www.amazon.com/Street-Guardian-SG9665GC-Supercapacitor-DashCam/dp/B00U0OJMYG/ref=lp_10150278011_1_1?srs=10150278011&ie=UTF8&qid=1463874182&sr=8-1
Low multiple cards: Mini 806 (i have 803). Easy to have multiple bases and just move between cars http://www.amazon.com/Dashboard-Camera-SplashETech-Smallest-Recorder/dp/B00XKM5A96/ref=sr_1_1?ie=UTF8&qid=1463874025&sr=8-1&keywords=mini+dash+cam
Mystery budget: aukey looks to have a 0803 rebadge for $60 worth a look http://www.amazon.com/Rotatable-Camera-Recorder-Versatile-G-Sensor/dp/B01B2VO218/ref=sr_1_2?ie=UTF8&qid=1463874025&sr=8-2&keywords=mini+dash+cam
Discrete: Street guardian has this model that is hard to find but allows you to mount on dash and have a remote control mounted elsewhere. https://streetguardian.info/products/digital-video-recorders/dash-cams/sgzc12rc-remote-lens-camera.html
Yep. Records 24/7.
Video: https://www.youtube.com/watch?v=hJU6It9uETU
Sale: http://www.amazon.com/BlackVue-Channel-DR650GW-2CH-Recorder-support/dp/B00MC56AXM