BLOBS & LINES, CONCENTRIC CIRCLES, and THIS OR THAT are all good choices for a mixed faculty gathering. From the site link: "Too many classroom icebreakers require students to take big social risks with people they barely know. Or they don't really help students get to know each other. Or they are just plain cheesy."
COMMON CHAIN looks like a fun alternative to the GETTING TO KNOW YOU GRID! From the site link: "Professional development is a necessary part of being an educator. As a facilitator, it is often hard to get attendees excited about the topic being presented or able to speak to one another with a short, but fun, activity that will get everyone talking, laughing and prepared for the professional development ahead."
#1 TEN THINGS IN COMMON might be effective if small mixed-departmental groups or departmental groups with new faculty are going to work together toward a common goal. #3 ONE WORD icebreaker might be good if you want to build school/departmental or college-wide culture (e.g., one word the group feels describes "advising"). #8 ENERGIZING QUESTIONS has some interesting questions that might get groups thinking toward the topic or theme. From the site link: "Want to try icebreakers to jump-start your meetings, training classes, and team building sessions? These 10 activities will give you a boost."
Lots of options here! VARIABLE NAMES and MEUUME might be good for getting to know each other (the former may be risky!), and LIFELINES and MACHINE GAME might facilitate team building. From the site link: "21 Ice Breakers & Name Games and 24 Team Building Activities"
Good SET OF ICEBREAKER QUESTIONS that can be used in any number of formats. From the site link: "We’ve collected the 100 best icebreaker questions we could find. They're relaxed, fun & simple but will encourage the team to give meaningful answers."