Apparently, the Czechs want to be known as "Czechia" rather than the "Czech Republic" in English.
The proposal is to be voted on in Parliament and if successful, would need approval by the UN.
Personally, I like the name (some people think it is ugly - why?) It ends in the "-kia" sound (same as Slovakia). And some people think it would be confused with Chechnya (probably by the same people who confuse Slovakia and Slovenia).
I think all countries should have a short form, without political/religious elements. The long form should be reserved for official occasions.
United States of America - America (would not be popular choice for South/Central Americans)
United Kingdom of Great Britain & Northern Ireland - Great Britain & Northern Ireland
Democratic Republic of Congo - Bring back Zaire
Central African Republic - Bring back Ubangi-Shari
Republic of Ireland - Ireland
Czech Republic - Czechia
United Arab Emirates - not sure - Emiratia would be based on political status (Emirate). Coud be named after one of the emirates (Dubai, Abu Dhabi?)
Dominican Republic - Dominicana