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I would expect that the natural place to record that information would be on 
the 
<http://cals.conlang.org/language/tag/a%20posteriori/ >
.  But right now only three conlangs declare that they are "a posteriori" there; 
one is a romlang, one is altaic, and one is slavic.

Only ten langauges declare they are "a priori" there, so obviously most 
conlangers just haven't said.

<http://cals.conlang.org/language/tag/germanic/ 
lists two germanic conlangs.
<http://cals.conlang.org/language/tag/polynesian%20conlang/ >
lists two polynesian conlangs.
<http://cals.conlang.org/language/tag/romance/ >
lists four romance conlangs.
<http://cals.conlang.org/language/tag/romlang/ >
lists three romlangs.

<http://cals.conlang.org/language/tag/future/ >
lists two "future" conlangs; Tsolyani, derived from a "Tamil-Mayan-Arabic 
argot", and Vilani, whose rootlangs are not specified there.

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Other likely places to find this information are
<http://conlang.wikia.com/ >
and
<http://wiki.frath.net/ >

Searching for "a posterior" on conlang.wikia turns up three conlangs; on 
frathwiki it turns up two.

On conlang.wikia searching for "diachronic" turns up two conlangs.

On frathwiki "Diachronic conlang" is a category. It has been applied to 8 
conlangs there.

The following categories are also in frathwiki:
<http://wiki.frath.net/Category:Romance_conlangs >
<http://wiki.frath.net/Category:Indo-European_conlangs >
<http://wiki.frath.net/Category:A_priori_conlangs >
<http://wiki.frath.net/Category:A_posteriori_conlangs >
<http://wiki.frath.net/Category:LLL >
<http://wiki.frath.net/Category:Slavic_conlangs >
<http://wiki.frath.net/Category:Germanic_conlangs >
<http://wiki.frath.net/Category:Uralic_conlangs >
<http://wiki.frath.net/Category:Altaic_conlangs >
<http://wiki.frath.net/Category:Amerindian_conlangs >
<http://wiki.frath.net/Category:Chinese_conlangs >
<http://wiki.frath.net/Category:Italic_conlangs >
<http://wiki.frath.net/Category:Semitic_conlangs >
<http://wiki.frath.net/Category:Conlangs_based_on_English >

and

<http://wiki.frath.net/Category:Types_of_conlangs >

So it looks like Frathwiki is the best place to look for your answer.