Supposedly, the plant described as Solanum capsicastrum and called false Jerusalem cherry is a closely related but distinct species, and the trade name "winter cherry" is also held to apply to this exclusively.
It is said to be recognizable by more mediocre size, and/or a greyish hue to the foliage and/or stems, and/or fruit that have a pronounced yellow hue when unripe and whose pulp is not or less poisonous (though the seeds still are, making the whole fruit still inedible), and/or higher frost hardiness.
But these supposed differences are inconsistently given in various horticultural sources, and no botanical source has in recent times distinguished between the two.
Indeed, these taxa are now generally held to refer to the same species, and the "false Jerusalem cherry", if it is at all distinguishable, seems to be a chemotype at best, or just a motley collection of cultivars.

The entire list of now-invalid synonyms of S. pseudocapsicum is long, and many homonyms are included within it:
Solanum capsicastrum Link ex Schau
Solanum capsicastrum var.
caaguazuense Chodat
Solanum compactum Hort.

Solanum diffusum Link ex Roem. &
Schult. (
non Ruiz & Pav.:
preoccupied)
S. diffusum Roxb.
ex Wall.
is S. virginianum L..S. diffusum ssp.
miozygum Bitter and S. diffusum var.
miozygum (Bitter) J.F.Macbr.
are S. ternatum.

Solanum diflorum Vell.

Solanum diflorum var.
angustifolium Kuntze
Not to be confused with S. angustifolium Mill..
Solanum diflorum var.
hygrophilum (Schltdl.)
Kuntze
Solanum diflorum var.
pulverulentum Chodat
Solanum diphyllum Forssk. (
non L.: preoccupied)
Solanum diphyllum var.
pulverulentum Chodat
S. diphyllum Sessé & Moc.
is S. nudum.
S. diphyllum Sw.
ex Dunal in DC.
is an undeterminable Lycianthes species.
S. diphyllum Osbeck is a nomen nudum.

Solanum dunnianum H.Lév.

Solanum eremanthum Dunal
Solanum hendersonii Hort.
ex W.Wight
Solanum hermannioides Schinz
Solanum hyemale Salisb.

Solanum hygrophilum Schltdl.

Solanum ipecacuanha Chodat
Solanum ipecacuanha var.
calvescens Chodat
Solanum ipecacuanha var.
obovata Chodat
Solanum jaliscanum Greenm.

Solanum karstenii Dunal
S. karstenii A.Braun & Bouché is S. felinum.

Solanum linkianum Roem. &
Schult.

Solanum lucidum M.Martens & Galeotti (non Moric.:
preoccupied)
S. lucidum Moric.
is Aureliana fasciculata (Vell.)
Sendtn..
Solanum mexiae Standl.

Solanum microcarpum Vahl
S. microcarpum Cerv.
ex Lag.
is S. pubigerum Dunal.
S. microcarpum Pav.
ex Dunal in DC.
is S. corymbosum Jacq..
Solanum montevidense Spreng.

Solanum plurifurcipilum Bitter
Solanum singuliflorum Steud.

Solanum tucumanense Griseb.

Solanum ulmoides Dunal
Solanum uniflorum Vell. (
non Dunal in Poir.:
preoccupied)
S. uniflorum Meyen ex Nees is S. elaeagnifolium Cav.. S. uniflorum Dunal in Poir.
and S. uniflorum Sessé & Moc.
are Lycianthes mociniana (Dunal) Bitter.
S. uniflorum Lag.
is an undeterminable Lycianthes species.

Solanum validum Rusby
As can be seen by the "false Jerusalem cherry" case, several presumed forms, subspecies and varieties have been described of S. pseudocapsicum.
But these are generally also not considered to be taxonomically distinct today:
Solanum pseudocapsicum var.
ambiguum Hassl.

Solanum pseudocapsicum f. calvescens (Chodat) Hassl.

Solanum pseudocapsicum var.
diflorum (Vell.)
Bitter
Solanum pseudocapsicum ssp.
diflorum (Vell.)
Hassl.

Solanum pseudocapsicum var.
hygrophilum (Schltdl.)
Hassl.

Solanum pseudocapsicum var.
lancifolium Moench
Solanum pseudocapsicum f. microcarpum (Vahl) Hassl.

Solanum pseudocapsicum var.
microcarpum Pers.

Solanum pseudocapsicum var.
normale Kuntze
Solanum pseudocapsicum f. pilosulum Hassl.

Solanum pseudocapsicum f.?
pilosum Kuntze
Solanum pseudocapsicum f. pilulosum Hassl.

Solanum pseudocapsicum var.
parvifolium Kuntze
Not to be confused with S. parvifolium.

Solanum pseudocapsicum var.
sendtnerianum Hassl.

Not to be confused with S. sendtnerianum.

Solanum pseudocapsicum "Thurino" RHS (tentative).

Solanum pseudocapsicum var.
typicum Hassl.
Supposedly, the plant described as Solanum capsicastrum and called false Jerusalem cherry is a closely related but distinct species, and the trade name "winter cherry" is also held to apply to this exclusively. It is said to be recognizable by more mediocre size, and/or a greyish hue to the foliage and/or stems, and/or fruit that have a pronounced yellow hue when unripe and whose pulp is not or less poisonous (though the seeds still are, making the whole fruit still inedible), and/or higher frost hardiness. But these supposed differences are inconsistently given in various horticultural sources, and no botanical source has in recent times distinguished between the two. Indeed, these taxa are now generally held to refer to the same species, and the "false Jerusalem cherry", if it is at all distinguishable, seems to be a chemotype at best, or just a motley collection of cultivars.
The entire list of now-invalid synonyms of S. pseudocapsicum is long, and many homonyms are included within it:
Solanum capsicastrum Link ex Schau
Solanum capsicastrum var. caaguazuense Chodat
Solanum compactum Hort.
Solanum diffusum Link ex Roem. & Schult. (non Ruiz & Pav.: preoccupied)
S. diffusum Roxb. ex Wall. is S. virginianum L..S. diffusum ssp. miozygum Bitter and S. diffusum var. miozygum (Bitter) J.F.Macbr. are S. ternatum.
Solanum diflorum Vell.
Solanum diflorum var. angustifolium Kuntze
Not to be confused with S. angustifolium Mill..
Solanum diflorum var. hygrophilum (Schltdl.) Kuntze
Solanum diflorum var. pulverulentum Chodat
Solanum diphyllum Forssk. (non L.: preoccupied)
Solanum diphyllum var. pulverulentum Chodat
S. diphyllum Sessé & Moc. is S. nudum. S. diphyllum Sw. ex Dunal in DC. is an undeterminable Lycianthes species. S. diphyllum Osbeck is a nomen nudum.
Solanum dunnianum H.Lév.
Solanum eremanthum Dunal
Solanum hendersonii Hort. ex W.Wight
Solanum hermannioides Schinz
Solanum hyemale Salisb.
Solanum hygrophilum Schltdl.
Solanum ipecacuanha Chodat
Solanum ipecacuanha var. calvescens Chodat
Solanum ipecacuanha var. obovata Chodat
Solanum jaliscanum Greenm.
Solanum karstenii Dunal
S. karstenii A.Braun & Bouché is S. felinum.
Solanum linkianum Roem. & Schult.
Solanum lucidum M.Martens & Galeotti (non Moric.: preoccupied)
S. lucidum Moric. is Aureliana fasciculata (Vell.) Sendtn..
Solanum mexiae Standl.
Solanum microcarpum Vahl
S. microcarpum Cerv. ex Lag. is S. pubigerum Dunal. S. microcarpum Pav. ex Dunal in DC. is S. corymbosum Jacq..
Solanum montevidense Spreng.
Solanum plurifurcipilum Bitter
Solanum singuliflorum Steud.
Solanum tucumanense Griseb.
Solanum ulmoides Dunal
Solanum uniflorum Vell. (non Dunal in Poir.: preoccupied)
S. uniflorum Meyen ex Nees is S. elaeagnifolium Cav.. S. uniflorum Dunal in Poir. and S. uniflorum Sessé & Moc. are Lycianthes mociniana (Dunal) Bitter. S. uniflorum Lag. is an undeterminable Lycianthes species.
Solanum validum Rusby
As can be seen by the "false Jerusalem cherry" case, several presumed forms, subspecies and varieties have been described of S. pseudocapsicum. But these are generally also not considered to be taxonomically distinct today:
Solanum pseudocapsicum var. ambiguum Hassl.
Solanum pseudocapsicum f. calvescens (Chodat) Hassl.
Solanum pseudocapsicum var. diflorum (Vell.) Bitter
Solanum pseudocapsicum ssp. diflorum (Vell.) Hassl.
Solanum pseudocapsicum var. hygrophilum (Schltdl.) Hassl.
Solanum pseudocapsicum var. lancifolium Moench
Solanum pseudocapsicum f. microcarpum (Vahl) Hassl.
Solanum pseudocapsicum var. microcarpum Pers.
Solanum pseudocapsicum var. normale Kuntze
Solanum pseudocapsicum f. pilosulum Hassl.
Solanum pseudocapsicum f.? pilosum Kuntze
Solanum pseudocapsicum f. pilulosum Hassl.
Solanum pseudocapsicum var. parvifolium Kuntze
Not to be confused with S. parvifolium.
Solanum pseudocapsicum var. sendtnerianum Hassl.
Not to be confused with S. sendtnerianum.
Solanum pseudocapsicum "Thurino" RHS (tentative).
Solanum pseudocapsicum var. typicum Hassl.
Solanum pseudocapsicum