Chances are no. Whereas the Mindset had a few games made specifically for it, on account of it's custom graphics and sound asics, few other pseudo/semi compatibles did. One that did as I recall was the Sanyo MBC-550/555 series, but that was somewhat more compatible then the rest (probably the first computer to sport 16 color 320 x 200 graphics, and I think maybe 4 colors at 640 x 200. Similar to the IBM Peanut and the Tandy 1000s.
The TIPC was only compatible at the BIOS and DOS function call level. These facilities are built into all DOS machines and DOS itself. But in order to eke out extra performance for certain applications it behooves a programmer to ignore these and write their own routines. IIRC Lotus 1-2-3 was written in 100% assembly language. But all the BIOS and DOS shit wasm't used at all.
So some text based games would work (Infocom). A few others that were "well behaved" maybe also
The TI was superior to the IBM PC in a couple respects. Faster (7.16mhz clock I think), graphics was better. It may not have had DMA, can't remember. Strangely it's graphics chip was the 6845, the IBM used the 6845. They're identical in most respects, but the TI pushed it harder so to speak.