I mentioned the Line6 DL4 'cause that's my main tool, I don't have a whole lot of experience with other digital delays.
Any of the oversized digital delays from Boss, Korg, TC Electronic etc. should also be capable of it, I was considering a couple of them when I decided on the DL4. Most manufacturers keep documentation online for their legacy products so you can do some research.
Like I mentioned above, at a minimum the pedal has to have the ability to configure these parameters: Length of delay, number of repeats, dry/wet levels (some use a balance, some have separate volume controls).
Sometimes there is a 'feedback' or 'trail' parameter, meaning how long the echos take to fade away, instead of 'repeats'. If you set that to minimum you get only one repeat. On some pedals, number of repeats and trail are different parameters so, for example, you can have repeats piling up without fading.