I'm not sure, but TBH I wasn't trying to be comprehensive about it either, as I also did not include carriers, DDHs, corvettes, and SSNs. But a more complete list would be:
CHINESE ORBAT
Carriers (1)
Modern (1): 1x CV-16
Destroyers (27 non-obsolete)
Modern (25): 1x 051B, 2x 051C, 2x 052B, 6x 052C, 10x 052D, 4x Sov (after refit)
Semi-modern (2): 2x 052
Obsolete (6): 6x 051
Frigates (38 non-obsolete)
Modern (28): 28x 054A
Semi-modern (10): 8x 053H3, 2x 054
Obsolete (13): 12x 053
Corvettes (41)
Modern (41): 41x 056/A
SSKs (42 non-obsolete)
Modern (28): 18x Yuan, 10x Kilo/636
Semi-modern (14): 12x Song, 2x Kilo/877
Obsolete (15): 15x Ming
SSNs (6? non-obsolete)
Modern (4?): 4?x Type 093A/B
Semi-modern (2): 2x Type 093
Obsolete (3): 3x Type 091
JAPANESE ORBAT
"Helicopter-carrying destroyers" (4)
Modern (4): 2x Hyuga, 2x Izumi
Destroyers (27)
Modern (27): 2x Atago, 4x Kongou, 1x Asahi, 4x Akizuki, 2x Hatakaze, 5x Takanami, 9x Murasame
Frigates/small destroyers (13)
Modern (8): 8x Asagiri
Semi-modern (5): 5x Hatsuyuki
Corvettes (6)
Modern (6): 6x Abukuma
SSKs (18)
Modern (18): 9x Soryu, 9x Oyashio
It's curious that you somehow transmuted "modern warship" into "Aegis destroyer". There is no requirement for a "modern" warship to have to be an Aegis or Aegis-like ship, destroyer or otherwise. Otherwise you would have to invalidate the 051B, 051C, 052B, and all post-refit 4 Sovs as modern warships, along with every last 054A and 056/A, and I don't see you screaming for those to be classified as substandard or obsolete. Second, there is no requirement for an Aegis or Aegis-like warship to have to carry LRSAMs like the SM-2 to be classified as Aegis-type ships. That is only your own definition which nobody else uses. Aegis-like capability doesn't even require the presence of VLS cells; the first 5 Ticos paired the SPY-1 with Mk 26 rail launchers. As long as you have an ESA and a combat data system that can search, track and either attack or direct another friendly ship to attack hundreds to thousands of targets in all three domains (air, surface, and subsurface), you have an Aegis-like capability.
As far as the JMSDF goes, your count of only 6 to 7 Aegis vessels is way off. In addition to Aegis, the JMSDF also uses ATECS, which is the Japanese version of Aegis. Aegis or ATECS is present on all new JMSDF ships, which means all the Atagos, Kongous, Asahis, Akizukis, Hyugas, and Izumus will have Aegis or ATECS. I count 15 such ships. The PLAN (presumably) has 17 such ships, 6x 052C, 10x 052D, and 1x CV-16. I say presumably because there is no official or even semi-official confirmation of any kind that any of these ships have an Aegis-like capability. I think it would be disingenuous of you to discount ATECS as an Aegis-like system (when it is described exactly as such) when you can't even get any confirmation at all that any PLAN warship has any kind of Aegis-like capability.
As for the Hatakaze, Takanami, and Murasame classes, your attempt to invalidate these ship classes as true destroyers does not stand up to scrutiny. Otherwise you would have to invalidate the 051B, the 052, the 052B, and all 4 Sovs as true destroyers, and I don't see you screaming for that to happen either. All 3 of these JMSDF destroyer classes displace greater than 6,000 tons and have modern radars and armaments that would be lethal in any modern day war scenario. None of them are "4,500 tons" if we are talking max displacement.
Lastly, it is grossly intellectually dishonest to classify the Hatsuyuki and Asagiri classes as "obsolete" in the same manner as the Luda and Jianghu classes, especially when their sensors and armaments are no less effective than modern ships designated for ASW warfare. They may have been built in the 1980's, but they are no less modern than any PLAN ships built up until the mid 2000's. I do agree that they should be classified as frigates due to their size, but this has absolutely no disposition on the combat effectiveness of their sensors or their weapons.