Unfortunately 13" ultrabooks are generally more expensive
Can consider these though~
14"
Dell [Ultrabook]Inspiron 14z, i3-3217U + Intel HD4000@RM1799[1.87kg], 4GB, 500GB(5400rpm), W8, *no VGA port, OD

HP [Ultrabook] Envy4-1009TU/1019TU, i3-2367M + Intel HD3000 + 32GB mSATA+ 500GB(5400rpm)@RM1899[Beats][1.75kg], 4GB, W7HP

Lenovo
[Ultrabook]S400, i3-2365M + AMD HD7450M@RM1699[1.8kg], 4GB, 500GB(5400rpm), W7HB
[Ultrabook]S400, i5-3317U + Intel HD4000 + 24GB mSATA + 500GB(5400rpm)@RM2099[1.8kg], 4GB, W7HB; W8@RM2199

Try to go for the HP or the RM2099 version of the Lenovo S400 since they will be faster in terms of performance due to the mSATA SSD
if you have money to spare, you can use it to extend warranty to 3 years for peace of mind~

Then perhaps you can consider the Envy 4 recommended earlier... I'm sure your gf would love the classy and good design hehe~

If you want to save a lot of money, then perhaps this one?
13"
Lenovo [Ultrabook]S300, Pentium 997 + Intel HD3000 @RM1199[1.8kg], 2GB,500GB(5400rpm), freeDOS; W7HB/W8@RM1399, no ODD, 1 yr warranty

Of course, the performance will not be as good as the aforementioned ones

Steady 

You pretty much set on AW since you like the bling bling and mummy like the warranty support?
If yes, then priorities (geezz, with your budget, still have to do this?  )

What is generally most important for gaming?
GPU (so you max this out first)
CPU (standard should do, don't need to overkill)
DD (this usually is the BOTTLENECK. You don't want your HDD crawling to catch up. Get the biggest SSD you can. Get 2 if Dell allow (I have not check their DD configuration).
Then, left over, just max out on the RAM.

Now, do NOT just click buy and fork over the money.
Negotiate. Online chat with Dell sales agent. Chat with as many sales agent as you like, since each one could give you different deal.
What you want to achieve is: 10 - 15% reduction in list price. That mean you rake up until somewhere like RM17k, then you online chat to bring it down towards your RM15k budget. It can be done. And some sales agents will start throwing free gifts at you (like external mouse, keyboard, bag ... ), if you don't want them, counter and get more discount.
Once you pull it off, show it to mummy, and get more browny points 

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Added on December 25, 2012, 8:24 am
You ignore the suffix i3-3110M vs i3-3217U.
3110M is the Mobile processor. More powerful than 3217U.
3217U is the ULV (ultra low voltage) processor. Run at lower wattage (17W vs 35W for 3110M). Save power, run cooler, more suitable for ultrabook. According to Intel, not all chips off the oven can be made to run in low wattage, so ULV processor is more expensive than M processor, even though M processor (for the same class) is more powerful.

If you ignore ultrabook, with your budget, you can get way better than HD 4000 & i3

Acer
Aspire V3-471G-53212G75d, i5-3210M + Nvidia GT630M@RM1899[2.3kg], 2GB, 750GB W8

Dell
Inspiron 14R, i5-3210M + Nvidia GT630M@RM1899[2.38kg], 4GB, 500GB(5400rpm), W7HP/W8

HP
Pavilion G4-2132/2133TX, i5-3210M + AMD HD7670M@RM1899[2.19kg], 2GB ,500GB(7200rpm), W7HB, colors: white/black
Pavilion G4-2107AX, A10-4600M + AMD HD7670M@RM1899, 2GB, 500GB

Lenovo
G480, i5-3210M + Nvidia GT635M@RM1899, 4GB, 1TB (5400rpm), W8, 2 yrs warranty

Dedicated graphic is not always on. Nvidia Optimus only turn on its GPU when needed, otherwise you are running on HD4000 as long as it is a Ivy Bridge CPU.
Also, it is not only for games. As long as you run anything graphical intensive, e.g. edit photo, video, it could kick in.

If you want only HD 4000, you can actually drop you budget all the way down, if you don't even need ULV CPU normally found in ultrabook.

Christmas New Year present. Did you get lucky as well? 
Sleekbook, the i3 spec? I remember you mentioned your gf was using c2d or something. You did not "con" her and get her the Pentium spec, did you?   
Happy New Year

You mean i5-3317U?
Grats on your purchase yo 

THe Inspiron 14R SE is one of the most bang-for-buck notebook within the price range of RM2.1k
Personally I think its hideous haha
But you do get a lot from such a budget machine 

Your gf has good taste