Titanium dioxide does not dissolve in ethanol, methanol, ethyl acetate etc. I'm aware it does dissolve well in hydrogen fluoride (HF). However, I need an alternative to HF.
I don't think titanium dioxide nanoparticles are dissolved in hydrogen fluoride. In fact, they are reacted into salts. If this is what you want, hot sulfuric acid and concentrated hydrochloric acid can also achieve this effect when the titanium dioxide nanoparticles are not so big.
But when you want to get a real solution of titanium dioxide nanoparticles, you may consider surface modification over titanium dioxide nanoparticles.
For example,
Zhou, X., Lai, C., Huang, D., Zeng, G., Chen, L., Qin, L., ... & Zhou, C. (2018). Preparation of water-compatible molecularly imprinted thiol-functionalized activated titanium dioxide: selective adsorption and efficient photodegradation of 2, 4-dinitrophenol in aqueous solution. Journal of hazardous materials, 346, 113-123.
Salimi-Yasar, H., Heris, S. Z., Shanbedi, M., Amiri, A., & Kameli, A. (2017). Experimental investigation of thermal properties of cutting fluid using soluble oil-based TiO2 nanofluid. Powder Technology, 310, 213-220.