Empress Superdelay for the delay, all the way. Seriously one of the best delays out on the market. Sure, it's a bit pricey, but nothing comes close to it for smaller pedal delays. You can get those pristine repeats or have some warm sounds of the tape mode. The 8 sub-modes make this a monstrous pedal, and though it seems like a lot of tweaking, it is pretty easy to get some nice sounds out of it.
Though some people think it's annoying, a lot of people have liked the RE-20 by BOSS. It's not that bad of a model on the old RE-201 Space Echos by Roland, and it's also pretty decently priced used. I've never used one, but from what I've heard, it isn't all too terrible for a BOSS pedal. It's got tap tempo as well as a long/short option for repeats, which is very useful if you want to have versatility.
Inbetween those is the Skreddy Echo, which has a nice warm delay tone. It works well with other pedals and can really modulate your sounds if you want it to. The straightforward controls make it great for quickly finding the sounds that you want, or if you just want to mess around with it the warble it's a snap. It's $350 to get on the list, but after the few months of waiting it's a great little pedal.
The be all to end all delays out there are probably the Fulltone Tube Tape Echo (TTE) and the Toneczar Echoczar + Angelbaby. The Fulltone is a great replica of those old echoplexes, and just sounds incredible. I managed to try one of them used and it seriously is a great tape delay for the money. The Echoczar, however, is probably the greatest delay pedal on the market by far. With a multi-year wait for them, and having three different sounding delays with the additional Angelbaby, it just sounds incredible. If you're prepared to wait 2+ years and pay almost $1200, it's a sound investment both literally and figuratively.
Malekko's upcoming 616 looks to be a real analog delay killer, as it's got modulation, a switchable buffer, and up to 600ms of delay time. For less than $200, it's really shaping up to become one of the new standard delays.
For your basic, inexpensive delay, go with the Ibanez DE-7. Simple, easy on the bank, and sounds pretty good too.
For reverb, the Malekko Spring Chicken is really great sounding, especially when you get the dwell mod added. They're being phased out, so you should get one now before they disappear. If you want to have a more versatile reverb, go with the Dr. Scientist Radical Red Reverberator (usually not red though

). They have nine different reverb modes that all sound great, and they are being revised for a smaller enclosure that will come out soon, so keep an eye out!
This is a strange "pedal," but the Ekdahl Moisturizer by Knas is a really cool looking pedal that has a VCO, a low frequency oscillator, and three springs for the reverb that you can hit and mess with since they are exposed on the top. Not really something if you want basic reverb sounds, but if you want something experimental with your reverb, this is it.
Another good reverb is the Sole-Mate or the Reverbamate by Van Amps. It gets you that classic spring reverb sound that a lot of pedals try to emulate. It is a very simple pedal, but the sound is really desirable.
Huzzah for describing a bunch of pedals that I don't actually own. Feel free to facepalm me if you must, but I liked those pedals.