I've always loved the classic Moonbeam clock.

No digital and no ticking is a tall order, isn't it? Not that I know anything about clock-making. My criteria are loud alarm, robust and no illumination (if I wake up in the night I don't necessarily want to know what time it is), and I found all three (plus red, which I like) in this one from Ikea.

On investigation: yes you can get quiet analogue clocks. Here's one.

Uncommon Goods has some cool ones.

Well, the ticking is more of a deal breaker (I'm sensitized to little noises now, since I had a kid) and the digital is OK if it doesn't light up too brightly. I love the second one you linked, alto as well as the moonbeam one. Nice!

I really like mine because it's completely unilluminated unless you press the big button on top, at which point you can see the time. I like to have the choice :)

Having said that, the moonbeam clock is lovely and I don't think I've ever seen one before.

You could get an old flip-style one on eBay, they often don't have illumination.

I really like that moonbeam, which is new to me also.

Silent Sweep alarm clock. Also available in white.

Approximately a million years ago my mum gave me a carriage-style brass alarm clock (similar to this one). It's about five-six inches high and I can't remember the last time I had to change the batteries. It's not really my cup of tea style-wise, but it works and it's quiet. It's solid brass and heavy enough you could really clock (ha!) someone with it.

I also had a Big Ben-style clock (similar to this one) that I loved until the mister broke one of the feet off of it, but it did tick.

If it were me purchasing an alarm clock, I really like the Moonbeam clock that Miko linked.

Do you have a Target you can get to? They usually have a fairly large selection of clocks of all sorts.

Most of the uncommon goods clocks use a standard quartz analog movement. You will be able to hear it. I can hear my Timex wristwatch sitting on my dresser 10 feet away and it's quieter than those.

If you don't mind scouring eBay and want something unique, get a Wallace and Gromit talking clock. They're digital, but don't light up. In fact, the clock itself is really an afterthought to being woken up by Peter Sallis' voice. I have the first two on that page. The second one is a clock radio, which is nice. I have since packed them up in their original boxes and stowed them away for sale in 20 years or so.

However, for $6 or so, you can get a quiet quartz movement and a set of hands and put this into pretty much whatever the hell you want to be a clock, including replacing movements that tick in a clock you might otherwise want. Easy peasy lemon squeezy.

I totally love looks of the moonbeam but beware -- at least one reviewer complains of loud tick.

yeah, I saw that comment too, bearwife. Which is a bummer because I really do like that clock. Tempted to get it for... somewhere? the kitchen? I just want to own it :)

I like the idea of making something myself though, per plinth's suggestion. Should look into that.