If you like the other open Sicilians, but dislike both the Sveshnikov and Rossolimo, perhaps 1.e4 c5 2.Nf3 Nc6 3.c3...
Any Simple Way to Avoid Sveshnikov

If you want to play other Open Sicilians, and want to specifically avoid the Sveshnikov, 3.Nc3 is what you want to be doing.

Are we also talking about the NImzovitsch-Rossolimo Attack?
If so, lose the 3... e6 move and go directly into the 3... g6 lines. 3... e6 is solid but analyzed very well from what I have seen (and I actually like the Paulsen).
How about an opening line of:
1. e4 c5 2. Nf3 Nc6 3. Bb5 g6 4. 0-0 Bg7 5. Re1 e5 6. b4, the Gurgenidze Variation?
The rossolimo can play either 4. 0-0 or 4. Bxc6 so if you get 4. 0-0 you can settle into the above line or if 4. Bxc6 then 4... dxc6 (preferred) or 4... bxc6
On 4. Bxc6 I might play a line like:
4... dxc6 5. d3 Bg7 6. h3 b6 7. Nc3 e5 8. Be3 f6 9. Qd2 Be6 where White has 2 choices: 10. 0-0 or 10. a3, the first being a turning point for Black and the second holding little in the way of theory.

So what I got so far is :
1. Avoid the opponent
2. Bribe the opponent
3. Throw pawns at the opponent
4. Put a pawn on c3
5. Put a knight on c3.
6.Don't take on c6. It's a trap.
7. Try Parcheesi
I am partial to #2 as this will at least gain time on the clock and my opponent might touch the wrong piece by mistake. I will meditate on this.

Hey Titan, did we ever play chess against each other up at the pub? That sounds like one of my ideas.

1.e4 c5 2.Nf3 nc6 3.Nc3
Now: 3..e5 4.Bc4
3..Nf6 you can either enter the Bb5 lines, having avoided some black systems.
The problem is that after 3..g6, you do not have a maroczy bind or yugoslav anymore.

The problem is that after 3..g6, you do not have a maroczy bind or yugoslav anymore.
Why do you say that White no longer can play a Yugoslav?

1.d4 or 1.Nf3 or 1.c4.
Rats. Was gonna say the same myself.
After 1.e4 c5 2.Nf3 Nc6, you could try 3.c3, 3.d3, or 3.g3. None of these are likely to lead to a Sveshnikov.
If you play an Open Sicilian, Black gets to choose. So, in terms of the parameters in this thread, the simplest and most correct answer is ...
NO.

The problem is that after 3..g6, you do not have a maroczy bind or yugoslav anymore.
Why do you say that White no longer can play a Yugoslav?
Well, I guess white can try..But it is fairly well known it loses its fangs against the accelerated dragon (which black will have just entered).

The problem is that after 3..g6, you do not have a maroczy bind or yugoslav anymore.
Why do you say that White no longer can play a Yugoslav?
Well, I guess white can try..But it is fairly well known it loses its fangs against the accelerated dragon (which black will have just entered).
Even when White avoids all the tricks and plays Bc4-b3 before f2-f3?

Its more due to the fact black hasnt played d6, and therefor can play d5 in one move, an example line is this:

Its more due to the fact black hasnt played d6, and therefor can play d5 in one move, an example line is this:
Doesn't ...d5 just lose a pawn? Shouldn't it be played on move 7 in this case? Btw 7.Bc4 0-0 8.Bb3 d6 9.f3 is the correct move order.

Its a line Cox gives in his Sveshnikov book.
Im sure you could probably find it in books on the accelerated dragon as well.
Past that I do not have much knowledge of the dragon, since I always played transposed to a taimanov sicilian after Nc3.

This is exactly why as Black I play 2... e6 out of the gate. I have had perhaps 2-4 games here where White has attempted 3. Bb5 against the Paulsen (Taimanov) Sicilian. Great point Rang.
1. e4 c5 2. Nc3 Nc6 3. Nf3 g6 4. d4 cxd4 5. Nxd4 Bg7 6. Be3 Nf6 7. Bc4 Qa5 avoids the Yugoslav in view of 8. f3 Qb4 9. Bb3 Nxe4. 8. O-O O-O (a) 9. Nb3 Qc7 10. f4 d6 11. Be2 is insipid. (b) 9. Bb3 d6 10. h3 Bd7 11. Re1 Rfe8 may lead to a nominal edge for White.
The official refutation of 1.e4 c5 2. Nf3 Nc6 3. d4 cxd4 4. Nxd4 g6 5. Nc3 Bg7 6. Be3 Nf6 7. f3 O-O 8. Bc4 begins with 8...Qb6. Ragnarokkr, are you sure you are not confusing this with 8.Qd2 d5 which is a tempo up on a similar sacrifice in the regular dragon?
I looked at Bb5 and was met with more confusing stuff.