Features Key features of the Galaxy Core  vs Sensation XE 

screen size

In return you get a handset with a screen of decent size and a camera, and paying a few bucks extra gets you dual-SIM dual active functionality as well.
Galaxy Core | by PhoneArena (Jul, 2013)

screen resolution

Galaxy Core
960 x 540
Sensation XE
960 x 540
They do not stand out with anything in particular, but they hit all the bases - colors are not skewed, detail is sufficient and the exposure is accurate.
Galaxy Core | by PhoneArena (Aug, 2013)

memory

Sensation XE
0.75 GB

processor

Galaxy Core
Dual core
Sensation XE
Dual core
It is equipped with a Snapdragon S4 Play SoC – the MSM8625, which packs a 1.2GHz dual-core processor, Adreno 203 graphics, and 1GB of RAM has been thrown in as well.
Galaxy Core | by PhoneArena (Jul, 2013)

camera resolution

Good news is that the 5-megapixel shooter captures very decent photographs.
Galaxy Core | by PhoneArena (Aug, 2013)

Differences What are the advantages of each

Back view of Samsung Galaxy Core

Reasons to consider the
Samsung Galaxy Core

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Supports NFC Yes vs No Somewhat common; Enables payment by phone and other wireless communications
Much better theoretical download speed 150 Mb/s vs 14.4 Mb/s Around 10.5x better theoretical download speed; enjoy lightning fast downloads on modern networks
More battery capacity 2,100 mA·h vs 1,730 mA·h More than 20% more battery capacity
Thinner 9.8 mm vs 11.3 mm Around 15% thinner
Slightly bigger screen 4.5" vs 4.3" Around 5% bigger screen
Front view of HTC Sensation XE

Reasons to consider the
HTC Sensation XE

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Acts as a wi-fi hotspot Yes vs No Somewhat common; Share your cellphone's data plan with other devices
Higher resolution front camera 8 MP vs 5 MP 60% higher resolution front camera; Video chat with other people
Faster processor 1.5 GHz vs 1.2 GHz More than 25% faster processor; run computation-intensive applications, such as photo editing, faster

Reviews Word on the street

Galaxy Core  vs Sensation XE 

8.0
8.5
Alternatively, if you insist on Android high-end with a big screen, you can look at the Samsung Galaxy S II, which has proven to be one of the best Android pieces of hardware, and is thin and light, with Super AMOLED Plus display.
Sensation XE

Specifications Full list of technical specs

screen

Galaxy Core  vs
Sensation XE 
Type Super IPS LCD2 Super IPS LCD2
Size 4.5" 4.3"
Resolution 960 x 540 960 x 540
Multitouch N/A Yes
PPI 244 ppi 256 ppi

sensors

Has an assisted GPS Yes Yes

music

Supports FM radio Yes Yes

software

Operating system Android 4.2.2 Android 4.0
Multitasking Yes Yes
App store Android Market Android Market
Adobe flash support No No
App store size 850,000 apps 850,000 apps

connectivity

Acts as a wi-fi hotspot No Yes
Supports NFC Yes No
Bluetooth Bluetooth v4.0 Bluetooth v3.0

form factor

Galaxy Core  vs
Sensation XE 
Thickness 9.8 mm 11.3 mm
Size 66.3 x 132.9 x 9.8 mm 65.4 x 126.1 x 11.3 mm

hardware

Clock speed 1.2 GHz 1.5 GHz
Number of cores Dual core Dual core
RAM 1 GB 0.75 GB
Internal storage 8 GB 4 GB
Supported card formats
SDXC
SDHC
SD

photo & video

Camera 5 MP 8 MP
Resolution 5 MP 8 MP
Flash Yes Yes
Secondary camera 0.3 MP 0.3 MP
Video resolution 1920 x 1080 @ 30 fps 1920 x 1080 @ 30 fps

cellular

Generation 3G 3.5G
Networks
GPRS (0.01 Mb/s)
HSUPA (5.76 Mb/s)
UMTS (0.38 Mb/s)
LTE Cat4 (150 Mb/s)
HSPA (unspecified)
EDGE (0.38 Mb/s)
Unknown (14.4 Mb/s)
HSDPA (14.4 Mb/s)
LTE Cat3
GSM (0.01 Mb/s)

battery

Capacity 2,100 mA·h 1,730 mA·h
Samsung Galaxy Core
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HTC Sensation XE
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