I've been playing around with the Hyperdart addon. This is by CigDriver, and is still being worked on,
here.
The background is that the US Air Force and intelligence people, on and off since the 50s, have wanted to have something that can go up on short notice on an unusual orbit, take photographs or do whatever skullduggery needs to be done in space, and then land again quickly. A spacecraft with wings gives you more freedom to control the time and place you can land, and also potentially lets you reshape your orbits by dipping into the atmosphere and using lift. For example, this influenced the design of the space shuttle.
This addon is for a made-up spacecraft, the Hyperdart, for this kind of mission. The design is based on an old research plane for hypersonic lifting body flight, and the launch vessel is based on the prototype XB70 Valkyrie supersonic bomber. So it's designs from the 50s, updated with some optimistic ideas about what can be done with modern materials. I gather that the unlikeliest things are the pressure the fuel is stored at and the effectiveness of the heatshield; otherwise it's supposed to be realistic.
Briefing -
The Russians have launched a new satellite without any fanfare. Intel reports that it is a new IMINT Bird and there has been some type of malfunction. The latest tracking indicates that the satellite is in a slow complex roll. Launch the HyperDart and interecpt it. Your crew for this mission will be NSA Specialist Bill Delange, NRO Engineer Tom Harr and ARMY EOD Specialist Anthony Clerk. Set up stationholding aproximately 5Km from the satellite and use the loaded imagery package to investigate the bird. Once approval is granted procede to a full intercept. At this point EOD Specialist Clerk will EVA to ensure there are no anti-tampering systems present on the new bird. Once it is deemed safe NRO Engineer Harr will EVA for a detailed investigation.Jan 12 22:01:00 - Take off, Kennedy Space Centre, Florida. My map shows a ground track of the path of the target satellite. It recently passed overhead, so at least I'm taking off at the right time. It looks like the angle it passed at was about 130 degrees, so I will launch at that angle, since I need to match its orbit.

I take off in the Valkyrie, turn to 130 degrees and climb to 10km at just below Mach 1. Then I lower the wingtips to better handle supersonic flight, and accelerate while climbing at about 10 degrees (I don't want to go too fast too low, for heat reasons).
22:12 - The Valkyrie is flying stably at about 1km/s, 22km up. I switch over to the cockpit of the Hyperdart, separate, and fully open the throttle. It's trimmed to climb at about 30 degrees and take itself to orbit. This involves accelerating to a horizontal speed of about 7km/s, and getting out of the atmosphere.

Cockpit view, halfway there
22:16 - We're going 7km/s, 200km up. The highest point in an orbit is called the apoapsis, and the lowest point the periapsis. You can just about see these as a filled and a hollow circle on the orbit display in the screenshot above. Currently my apoapsis is 380km above the earth - this is too high, and I should have been more careful on my ascent. Fortunately I have a generous amount of fuel. My periapsis is still a few 100km below the surface of the earth, so we're not quite in orbit yet. But we're well out of the atmosphere, and still climbing, so I shut off the engine and let myself coast up to the apoapsis.
22:30 - At apoapsis. I use the attitude thrusters to turn myself prograde, that is, facing the direction of motion. Firing my main engines here will change the shape of my orbit. The apoapsis and the inclination will not change, but the periapsis will get higher. I raise it to 327km, about the average altitude of the target.
23:00 - I did a good job eyeballing the angle I launched at, since the plane of my orbit is only a few degrees away form the plane of the target. I coast around until I reach one of the two points where my orbit intersects the target plane, and do a short burn their to shift the inclination of my orbit so that the planes now line up to within 0.01 degrees.
Now I think about synchronizing orbits, to get myself in the same place as the target, with the same velocity. Currently I'm around 80 degrees behind the target. To catch up I need to be in a lower, and hence faster, orbit than it. But I can't go too much lower, or I will end up in the atmosphere. In the end I put myself into a 186x336km orbit (periapsis x apoapsis). This is a little bit faster than the target's, and my instruments say we will both be at my apoapsis position in 9 orbits, about 15 hours.
Jan 13 13:53 - I'm at apoapsis, exactly one orbit before intercept. I do a final careful synchronization burn so we will pass here at exactly the same time, next time around. Currently the target is 670km away, with relative speed 750m/s.
15:24 - Intercept the target over the south Pacific, just crossing the terminator into dawn. It looks like I set things up well, as I come withing 5km and 40m/s of it. I bring myself to a stop relative to it.
15:42 - The briefing says to inspect it with the onboard telescope. I don't know how to do that, but I reckon it looks safe enough. So I approach to within 50m and stop there, just coming up to the isthmus of Panama. I forgot to load the proper crew at the start or something, and rather than the specialists in the briefing I only have two generic crew members on board. Anyway, I send one over on EVA. Instead of the hum of the ship, I can hear just breathing and the whistle of air into the suit.
16:30 - I'm back on board, and thinking about how to get back home. This is the hardest thing in the mission, especially for a beginner like me. As I understand it, because of the shape of this thing, you can't plunge straight down through the atmosphere like a capsule without overheating. You have to fly it down, using lift to manage your rate of descent, like the space shuttle. The advantage is that you can control where you land, if you know what you're doing.
After failing and burning up several times, I ended up doing it like this, which is probably terrible (also remember that the mod isn't finished yet): My next couple of orbits will take me over the east coast of the US, and I spend half of my remaining fuel rotating my orbit so that these will go closer to Florida. I suppose it's better to lose the fuel anyway, so that I'm lighter coming down. Then I lower my orbit to around 170km, just above the atmosphere. As I pass above Florida I do a final retrograde burn, to set my periapsis to about 70km, on the other side of the world. So for the next half orbit, from here to there, I will descend gradually into the atmosphere.
As I descend I begin to feel the atmosphere affecting the ship. I trim it so that my angle of attack is around 10 degrees, which seems to provide a reasonable amount of lift at this height and speed, and try to stay at 80km up for now. This often means banking to one side so that the lift doesn't skip me back out of the atmosphere again. I don't really want to decrease my angle of attack too much, since there's presumably more heat protection on the bottom of the ship. (I think I'm probably misunderstanding something about the sim here.)
I'm all the way around the world and back over Florida before I feel that I am slow enough to safely descend into the thicker part of the atmosphere. But I'm still going at around 4km/s, so there's no way I'm going to land this side of the Atlantic.

Crossing the African coast
Finally, over the Sahara I reach a mere Mach 5. I glide down and land in the desert. The dart flies okay down to about 110m/s, so I descend at 10-20 degrees, keeping this speed, and then flare and bleed it off, landing at something like 70m/s.