Currently billions are spent on academic publishing even though servers are cheap and the labour is unpaid. This would be a good starting point to fund replications. But that will never happen while the status quo is “peer reviewed = good science”
Also, scientists should be spending time on what they think is valuable. Scientists happily replicate important papers using their existing resources. If no-one cares about your result and won't replicate for free, then pay someone to do it! This is the basis of adversarial collaborations (see FEP collaboration funded by a philanthropic foundation). No-one is advocating that e.g. we replicate newtons law for the Nth time. And how to determine if N is enough? Use Lakatos' MSRP to compare rival theories.
Again, these dreams are predicated on the status quo changing to where scientists care about the content of a paper, not where is it published or that a faceless committee has accepted its foibles. A world where the public response to a non-replicated result is:
"I wonder if any groups plan on replicating?" vs "New paper published in __nature__ has <newsworthy counter-intuitive yet unreplicable result>! Book deal / gov. contract / faculty promotion here I come!"
What was the alternative (and when?), and what were the results? Who will fund all this replication - basically double-funding all research? Do we want our scientists spending their limited time on old things instead of discovering new ones?