Please, for the love of god, do NOT get into an anime style. I like the smudging effect you used on the first but they kill all flow. You have 4 directional flow. The second one is alright but needs a background.
First one: Nice smudging on the colors, but the render isn't blended at all, try taking a color out of the render, brushing it on a layer under the layer, and then smudging it like the rest, then brush a diffrent render color lightly on top and smude it. On both sides Second one: The bg is a c4d set on value or something, not good. The other c4d does give flow, but stands out a little to much for my liking, that just me though. What is either another c4d or the vine brush colored stands out alot, which to me doesn't look good. I would defiantly keep with the other style more than this one...
I cant forget it is anime, i just cant, it is impossible. So fare i dont like them for that reason. You are turning into Frag when it comes to making signatures, and thats not a good thing. You have to explore things, don't just stick with anime PLEASE. I beg of you. That being said, i will still give you some CnC. SIg 1 The smudge work looks very amateur. Gimp leaves this ugly circle trail when smudging, anf you have to learn to get around that. Plus, this sig is just way out of play. Its a render, with some random colors on the top. You should have covered every thing but the render with the smudged colors. I dont like the text. Sig 2 This one is better, but i still don't think it is amazing. Some good depth, but the from C4D is very odd. Once again, the text is very bad. For the sig, try some gradient maps, to try to make the sig blend better.
I honestly don't see what's wrong with anime. If you do it well, then by all means, do it. But for the most part, I'm not feeling these tags much at all. I'm guessing from the comments above that you're using GIMP? Imo, Gimp doesn't really supply the tools for decent smudging. Flow is off. Doesn't look like there are any adjustment layers after the smudge and the render. Second one, flow is better. But still not feeling it. Coloring is bad. The effect is just overall weird. Text could use improvement on both.
Get rid of that sun flare in the top signature. Find something else to take up the space. Otherwise, I like the colors.