I thought this was interesting enough to have its own thread: a right turn only lane and a slip lane doing the same movement...
https://www.google.com/maps/@29.1631833,-95.4523737,3a,25.6y,23.51h,87.14t/data=!3m6!1e1!3m4!1s8uO5SGWHPbekSSaGBKssSA!2e0!7i16384!8i8192
This exists here to provide Western Avenue with access from the light without creating a dangerous turning situation from the slip lane across the traffic. I was wondering how many other junctions with this setup exist around the world. Any other examples?
I-64 West / US-13 Northampton Blvd off ramp (https://www.google.com/maps/@36.8739619,-76.1961252,3a,49y,349.84h,87.21t/data=!3m6!1e1!3m4!1sOrQUG4ePawU2LSlUdQ5MXQ!2e0!7i16384!8i8192) in Norfolk, VA.
The slip right turn lane is intended for traffic turning right onto Northampton Blvd to then turn right again onto Wesleyan Dr, the middle and left right turn lanes are intended for traffic turning right onto Northampton Blvd and continuing, and the left right turn lane is intended for traffic turning right onto Northampton Blvd then left onto Premium Outlets Blvd. All of these movements are outlined on an overhead sign.
Since there's no restrictions on the slip lane though, it's not uncommon for through traffic on Northampton Blvd to use it then merge into traffic to avoid the signal. If they want through traffic to turn at the light and to truly restrict that slip lane for traffic destined to Wesleyan Dr, then they need to put up a barrier or something along those lines.
We had a discussion about a similar location some years back. (https://www.aaroads.com/forum/index.php?topic=23935.msg2438751#msg2438751) The explanation was similar–there's a left turn just around the corner.
The Fredericksburg area has a couple and I know of one in Manassas.
The newest one of these, I-95 SB ramp to VA 3 WB is really more about the right turn that comes quickly, as the weaving on VA 3 was a nightmare most any time of the day. There is a left turn at that intersection but it is only for Burger King and a small hotel, which I'm sure was difficult when this was still a free-flowing clover interchange.
Triple right turn lane, which is to stop backing up onto the mainline of 95 (C/D lane eventually) in afternoon rush! https://goo.gl/maps/GFS3dA9J5792mKvA6
The signal movement at that intersection is complex, as the two sets of right turn signals are not green at the same time
https://goo.gl/maps/aX97f9yLTdPupVEt8
I've never seen this, since a lot of the time signage expressly prohibits taking a right turn if you miss the slip lane.
Smyrna, GA: https://goo.gl/maps/Bvn1iqQSMfhN9Nwz7
I suspect this isn't what's being looked for, but there would be many more examples if we included roundabouts.
In exaggerated examples, some NJ jughandles allow right turns at the jughandle before the intersection, then again at the intersection itself. I say exaggerated, as those double right turn options are usually much further in distance than the examples mentioned by the OP and others.
One I passed on the way to STL Airport parking this afternoon. This is the exit ramp from I-70 WB to Natural Bridge Road, where some of the Airport Economy Parking options are
https://goo.gl/maps/bconaEJMCqaNyMoEA
This is the only one I know of in the Pittsburgh area. (https://goo.gl/maps/UJK6VKMroYDknmBM6) It's on US-19 going NB @ Pine Creek Road. My guess it was done to allow another option for people to turn left due to the very short left turn lane. That, or the former Ice Cream place that was there at the corner where the First Commonwealth Bank is now located.
I-275 EB exit 47 ramp (https://www.google.com/maps/@39.2850053,-84.3718776,3a,75y,136.8h,84.89t/data=!3m6!1e1!3m4!1sk9LgQdpDl0MYYSOHNCZLqA!2e0!7i16384!8i8192)
Plenty of them around the Seattle metro area, especially for interchanges where buses need to use the outside lane to avoid merging across too many lanes.