See also my region specific posts on fertility preferences in:
This map fills in the spots elsewhere.
South America: Constricting the sample to surveys performed in the 2010s, it seems the region is converging to low 2.0’s levels, with Brazil reaching 2.3 as early as 1996 (TFR is now at less than 1.7, with whites entering outright natural decrease). Ergo for Bolivia, Peru, and Colombia as of 2010s surveys. So they can now be expected to follow in Brazil’s footsteps.
Mexico: 3.0… but its survey dates from 1987, so will surely be lower now.
Central America: Clusters around 3.0. The last demographic reservoir of migrants to the US, but it will be coming to an end in the next 2 decades, just as Mexico had exhausted its reserves by the 2010s. At which point the Hispanic population percentage in the US can be expected to reach saturation point.
Ukraine: Has an ideal fertility rate of 2.0 in 2007, which is broadly in line with East-Central Europe and Mediterranean during that period, and slightly lower than contemporaneous Russia. Nothing surprising here. I wonder if there have been any surveys of ideal fertility in the Ukraine since.
Turkey: Still a pretty vigorous 2.8 as of 2013.
Egypt: 3.0 as of 2014, unchanging since 1988 (when 2.9).
Central Asia: Only countries with 2010s surveys are Kyrgyzstan (3.9) and Tajikistan (3.4). Kyrgyzstan is virtually unchanged from 1997, when it was at 3.7. So no cause to expect a demographic transition there anytime soon.
Indonesia: 2.6 children in 2017, having declined monotonously from 3.2 children 1987.
India: Now at just 2.2 children in 2015-16 (down from 2.9 in 1992-93), i.e. in line with the Med and East-Central Europe in 2000s, but at a much lower development. I suspect Indian TFR will crash to one of the very lowest rates in the world by mid-century.
Bangladesh is at exactly the same level, with 2.2 children seen as ideal.
Pakistan is not subject to these trends: Currently at 3.9 ideal children as of 2017-18, unchanged from 4.1 in 1990-91.
Afghanistan: Ideal children at 5.6 in 2015.
Yemen: 4.3 by 2013, down from 5.4 in 1991-2.
SE Asia: Thailand, Vietnam, and Myanmar all in mid-2.0s, like the more fertile developed countries (e.g. Anglos, French, Scandis).