Not the first collection of Doctor Who short stories I've read, and not the best, but still "good" overall. This isn't really a proper review, but quick thoughts on each of the short stories for the thirteen 'main' Doctors (because War isn't here...bastards...):
First: The First Doctor deals with space pirates. Or sky pirates. Close enough. It's fun enough.
Two: The Second Doctor and Jaime encounter space C'thulu. Or C'thulus, plural. It's a pretty good read, the type of story that might not have worked on the screen due to the budget required, but here, it's pulled off well.
Three: The Third Doctor and Jo Grant go back to the time of Vikings and the origination point/incident of Norse myths. Good read, nice example of a historical fiction-type episode, good characterization for Three.
Four: The Fourth Doctor and Leela explore a giant tree. IN SPAACE! Actually it's pretty fun. Overall, first four stories are solid.
Fifth: Unfortunately, the fifth story is when cracks start to show. Part of the issue is that it isn't so much a Fifth Doctor story, it's a story that the Fifth Doctor just happens to be in, and no, that's not the first time I've seen this happen. I know the Fifth Doctor isn't that popular, but come on guys...
Anyway, the story itself deals with something amiss in a US 1940s town, with strange devices always speaking the truth, no matter how unpleasant/hurtful it might be. It's fine, really, but a step down from the prior ones.
Sixth: Bucking a trend, the Sixth Doctor story does Las Vegas IN SPAAACE, but does it quite well. A trend I've noticed with the Sixth Doctor is that as weak as his TV run was, his EU stories tend to be quite solid. This was a romp.
Seventh: ...honestly, I can't even remember what happened in this story. Derp. 0_0
Eighth: Easily the weakest of the bunch, which is a shame, because I quite like Eight. Anyway, the Eighth Doctor works with the US Army to thwart an alien invasion. That's it. It's invasion sci-fi schlock, and while schlock absolutely has a place in Doctor Who (heck, the show arguably IS schlock), it's not even creative schlock.
War: ...where's War's story, you cowards?!
Ninth: Similar to Five, this isn't from the Doctor's POV, but unlike Five, Nine is closely interwoven with the story. He and a companion who isn't what she seems go to Babylon of old. Nice adventure romp, decent twist with the companion.
Tenth: The Tenth Doctor and Martha end up in a make-believe world that they need to suss out. Decent story, great characterization of Ten.
Eleventh: Easily the strongest of the bunch - unease, horror, the works. Don't want to get into detail because I don't want to spoil anything, but again, easily the best of the lot.
Twelfth: Similar to Nine, it's a story where the Doctor or regular companion isn't a POV character. Similar to Nine, there's a twist with the companion. Unfortunately, doesn't work as well. It's okay, but one of the weaker entries.
Thirteen: As low as Thirteen ranks in Doctors for me, this is a decent romp, with a year going missing from peoples' collective memories of Earth history. It's got the usual issues I have with Thirteen's run (companions aren't interesting), but the actual plot is well done and executed well, mostly.
So, yeah. Good reads. Not the best DW short story collection (for that, I'd recommend Twelve Angels Weeping...seriously, read it), but pretty fun overall.