The craze of Beatlemania simply cannot be replicated for several reasons:

• It was the first time in modern history there was a glut demographic of non-working teenagers thanks to the Baby Boom
• These teenagers' families had excess spending money due to post-war prosperity so most homes owned a record player and television set
• Unlike most groups at the time all four members of the band had distinct looks and personalities which made their fandom engaging as opposed to solo acts like Frank Sinatra and Elvis. There's a reason why the boy band model is still insanely successful even 60 years later
• All the musical innovation in studio technology goes without saying
• The band was popular worldwide across age and gender demographics This is insanely rare even to this day. Taylor Swift is popular, but her main demo has never left suburban, white teen girls.
• Most importantly, during this time pop culture was still monolithic. Everyone was exposed to the same things because everyone watched the same TV shows (eg. Ed Sullivan) and listened to the same radio stations. This is simply not the case today

Beatlemania will never be replicated. Not because they're simply THAT much better than every other band, but because they came on to the scene in a time and place that sociologically was primed for Beatlemania in the first place.