The A10-7300 should be able to play those older games without much issue. However, the A10-7300 has the slower version of the Radeon R6 (Kaveri) graphic core. The faster version is in the A10-7400p.
http/www.notebookcheck.net/AMD-Radeon-R6-Kaveri.117382.0.html
If you don't mind spending $450, then you can buy the ASUS X550ZA-WB11 which has the A10-7400p APU.
http/www.amazon.com/X550ZA-WB11-15-6-Inch-Laptop-Windows-Upgrade/dp/B00YR6BMOQ
I have a friend who was interested in playing Skyrim (newer than those older games) on his laptop, but it only has a Core i5-4200u and the Intel HD 4400 graphics core which is less powerful than the slower version of the Radeon R6 (Kaveri) graphics core. I have a laptop with basically the same specs as his, but my laptop also a dedicated Radeon HD 8850m graphics chip. I installed Skyrim and all the expansion on my laptop. I tweaked the SkyrimPref.ini file to improve performance by disabling shadows and a few other things.
I let him play Skyrim on my laptop for a while at different resolutions; 1366x768 (40+ FPS average outdoors), 1600x900 (30 FPS average outdoors) and 1920x1080 (low 20's FPS average outdoors). Ultimately he decided to buy the game since he thought the performance at 1600x900 resolution was good enough for him. I gave him a copy of the SkyrimPref.ini that I tweaked.
Fallout 3 & NV has been out for quite some time so I am sure there are plenty of mods that can help improve performance if need be. I am pretty sure the A10-7300 / A10-7400p is good enough to play Fallout 4 at 1366x768 which will be using an updated Creation Engine used in Skyrim.