The best replacement for analog delay is digital delay.

The best alternatives to analog delay are rated as following:
★★★★★  digital delay
★★  tape echo
★★  tape delay
★★  reverb
★  digital

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Speaking about analog delay, one probably shouldn't forget about tap tempo.

Other search terms related to analog delay and their ratings are:
★★★★★ tap tempo
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analog delay
digital delay
tape echo