Israel graduated into OECD. Theirs is an interesting saga.
In 1977, they liberalised the capital account, and got themselves into a mess. This opening of the capital account was then reversed.
In the 1990s, they got back to this issue, and by this time, the `impossible trinity' was better understood. By 2003, all capital controls had been removed, alongside a shift to a floating exchange rate and inflation targeting. Capital outflows were liberalised as well, so their typical configuration involves large capital inflows alongside large capital outflows, which avoids one-way pressures on the exchange rate.
The next few `accession candidate countries' for OECD are Estonia, Russia and Slovenia. Here is the list of existing members.