I am reading Bousfield's paper entitled "[The localization of spectra with respect to homology](https://www.sciencedirect.com/science/article/pii/0040938379900181)" ([MSN](https://mathscinet.ams.org/mathscinet-getitem?mr=551009)). In that paper,  Corollary 6.13 states that, if a ring spectrum $E$ with countable homotopy and satisfies some vanishing conditions in the associated Adams spectral sequence, then the localization is equivalent to nilpotent completion.

So, my question is the following:
> What are the ring spectra $E$ (I need an updated list)  satisfying the above conditions?