All of the runways at Goodfellow have either been obliterated, or have construction of varying forms on them. For example, the N-S runway is now Kearney Blvd, the main street through the base.
As for the aircraft seen in the overhead photo, all are used in conjuction with fire training/emergency procedures training at the Lewis F. Garland Fire Academy (Now the DoD fire school, formerly the AF Fire School from Chanute AFB, IL). Their status/origins are:
2 x C-130 - Flown in from the (I believe) Tennessee Air NG, and made unserviceable for further flight. Used for emergency procedures training.
F-15A - "Flown" in from Sheppard AFB, under a Texas Army NG CH-47. Used for crew extraction.
F-14A - (Not pictured) Flown in to Mathis Field, SJT, and towed by road to GAFB. Was used fro same purpose as F-15. With the withdrawal from service of the F-14, future is unknown.
CH-53 - Used for emergency procedures training.
Other airframes extant at that location are used for the same purpose.
Other aircraft resident on base include:
MiG-29A (ex-Moldovan AF - complete to include instruments, ejection seat, etc.)
MiG-23 (ex-East German AF - same as MiG-29)
TB-25/B-25J (gate guard at South Gate)
RF-4C (from now-closed Bergstrom AFB)
T-28A (from now-closed Reese AFB)
BT-13 (from USAF Museum)
EC-47 (from USAF Museum/Davis-Monthan AFB)
Base missions (all non-flying) include cryptologic training, AF general intel and imagery, seismic, the fire academy, and others. Also resident on base is the DOT test track (the oval adjacent to the fire academy).
This info, and $.60 will get you a soda from the machine.